Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx...

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Transcript of Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx...

Page 1: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 2: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 3: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 4: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 5: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 6: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 7: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 8: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 9: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 10: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)
Page 11: Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)

power integrals - uni-marburg.de · x3 +x2 +x+1 x2 = 1 2 x2 +x− 1 x +logx Z dx ... rational integrals substitution Z dx x x2 −1 3 = 1 8 x2 −1 4 Z dx x2 ... dx 1 x2 +x+1 = 2

power integrals - uni-marburg.de · x3 +x2 +x+1 x2 = 1 2 x2 +x− 1 x +logx Z dx ... rational integrals substitution Z dx x x2 −1 3 = 1 8 x2 −1 4 Z dx x2 ... dx 1 x2 +x+1 = 2

COMPUTER BASED TEST (CBT) Memory Based Questions & … · x2= 4b(y + b), tgk¡ b ,d izkpy gS] dk vody lehdj.k gksxk % (1) 2 2 x dx dy 2 dx dy x (2) x dx dy 2y dx dy x 2 (3) 2 2 x

COMPUTER BASED TEST (CBT) Memory Based Questions & … · x2= 4b(y + b), tgk¡ b ,d izkpy gS] dk vody lehdj.k gksxk % (1) 2 2 x dx dy 2 dx dy x (2) x dx dy 2y dx dy x 2 (3) 2 2 x

integration indefinite megamix student version · 2020. 9. 28. · 2 2 1 cos tan dx x x 193. 3cos 33 x dx 194. 3sec 4 x dx 195. 2sin cos3x x dx 196. 2sin cos sin x dx x x+ 197. 4

integration indefinite megamix student version · 2020. 9. 28. · 2 2 1 cos tan dx x x 193. 3cos 33 x dx 194. 3sec 4 x dx 195. 2sin cos3x x dx 196. 2sin cos sin x dx x x+ 197. 4

Derivatives of Exponential and Logarithm Functions · The Calculus Standards: ex and lnx To get the other derivatives: ax = ex lna log a x = lnx lna For example: d dx 2x = d dx ex

Derivatives of Exponential and Logarithm Functions · The Calculus Standards: ex and lnx To get the other derivatives: ax = ex lna log a x = lnx lna For example: d dx 2x = d dx ex

& Conducted I - CH - 11... · 6 01. y = x . tan x Differentiating wrt x ; SUMS ON PRODUCT RULE dy = x d tan x + tan x . d x dx dx dx

& Conducted I - CH - 11... · 6 01. y = x . tan x Differentiating wrt x ; SUMS ON PRODUCT RULE dy = x d tan x + tan x . d x dx dx dx

Derivatives (1A) - Wikimedia · 2014. 6. 23. · Derivatives (1A) 19 Young Won Lim 6/23/14 The Euler constant e f ' 0 = 1 d dx ex = ex f x = ex f ' x = ex f '' x = ex lim h→0 ah

Derivatives (1A) - Wikimedia · 2014. 6. 23. · Derivatives (1A) 19 Young Won Lim 6/23/14 The Euler constant e f ' 0 = 1 d dx ex = ex f x = ex f ' x = ex f '' x = ex lim h→0 ah

Using our work from the last few weeks, work out the following integrals: 1. cosx dx 2. sinx dx 3. cos3x dx 4. sin3x dx 5. sin 2 x dx 6. cos 2 x dx Why.

Using our work from the last few weeks, work out the following integrals: 1. cosx dx 2. sinx dx 3. cos3x dx 4. sin3x dx 5. sin 2 x dx 6. cos 2 x dx Why.

hoc360.net...+ COS 2À 2 cos 2 — cos 2x cos 2x f(x)dx ex + sin 2x + C — ex + tan X +

hoc360.net...+ COS 2À 2 cos 2 — cos 2x cos 2x f(x)dx ex + sin 2x + C — ex + tan X +

Background – Complex Analysis (1A) · Complex Analysis (BGND.1A) 11 Young Won Lim 9/2/14 The Euler constant e f ' 0 = 1 d dx ex = ex f x = ex f ' x = ex f '' x = ex lim h→0 ah

Background – Complex Analysis (1A) · Complex Analysis (BGND.1A) 11 Young Won Lim 9/2/14 The Euler constant e f ' 0 = 1 d dx ex = ex f x = ex f ' x = ex f '' x = ex lim h→0 ah

Y DX OR X DY

Y DX OR X DY

INTEGRALS - samagra.itschool.gov.in · ∫ f x dx( ) Integral of f with respect to x f(x) in ... –1 2 sin C 1 dx x – x ...

INTEGRALS - samagra.itschool.gov.in · ∫ f x dx( ) Integral of f with respect to x f(x) in ... –1 2 sin C 1 dx x – x ...

--Pc1-e-DTP Backup 18-02-2009-2 · 4 Mahesh Tutorials Science 8) sin x + cosec x ∫ tanx dx Ans. = 1 sin x + sin x sinx cosx ∫ dx = 2 2 (sin x + 1) sin x ∫ cos x dx = cosec x

--Pc1-e-DTP Backup 18-02-2009-2 · 4 Mahesh Tutorials Science 8) sin x + cosec x ∫ tanx dx Ans. = 1 sin x + sin x sinx cosx ∫ dx = 2 2 (sin x + 1) sin x ∫ cos x dx = cosec x

Lec1,2. Week1. 133 Sec61, F17 - Michigan State University · Lec1,2. Week1. 133 Sec61, F17 13. Math133-Table of (Inde nite) Integral Z cf(x)dx = c Z f(x)dx Z [f(x)+ g(x)]dx = Z f(x)dx+

Lec1,2. Week1. 133 Sec61, F17 - Michigan State University · Lec1,2. Week1. 133 Sec61, F17 13. Math133-Table of (Inde nite) Integral Z cf(x)dx = c Z f(x)dx Z [f(x)+ g(x)]dx = Z f(x)dx+

papercollection.files.wordpress.com€¦ ·  · 2008-10-17eXdx,v— fez dx = ex e' sinxdr sin x — [e' cosx+ fez sin xdv]+c ex sin x ex COSx— Jex sinxdx + C 2 sin xdx = ex (sinx

papercollection.files.wordpress.com€¦ ·  · 2008-10-17eXdx,v— fez dx = ex e' sinxdr sin x — [e' cosx+ fez sin xdv]+c ex sin x ex COSx— Jex sinxdx + C 2 sin xdx = ex (sinx

FINITE DIFFERENCE AND PDE - kuliah.ftsl.itb.ac.id · What is a finite difference? Common definitions of the derivative of f(x): dx f x dx f x f dx ... forward difference backward

FINITE DIFFERENCE AND PDE - kuliah.ftsl.itb.ac.id · What is a finite difference? Common definitions of the derivative of f(x): dx f x dx f x f dx ... forward difference backward

RD Sharma Solutions Class 12 Maths Chapter 19 Ex 19 · Indefinite Integrals Ex 19.9 Q1 Let I= J logx dx X Let logx = t then, d (logx) = dt 1 => -dx = dt X => dx = xdt Putting logx

RD Sharma Solutions Class 12 Maths Chapter 19 Ex 19 · Indefinite Integrals Ex 19.9 Q1 Let I= J logx dx X Let logx = t then, d (logx) = dt 1 => -dx = dt X => dx = xdt Putting logx

math3b HWch7 integration ∫ 3 cos3 x sin5 x dx 25) ∫ 2 sin3 x cos5 x dx 26)!/3 0 ∫ tan x sec4 x dx 27) ∫ 2 csc3 x cot x dx 28) ∫ 49 - x2 dx 29) dx (x2 + 81)3/2 ∫ 30) dx

math3b HWch7 integration ∫ 3 cos3 x sin5 x dx 25) ∫ 2 sin3 x cos5 x dx 26)!/3 0 ∫ tan x sec4 x dx 27) ∫ 2 csc3 x cot x dx 28) ∫ 49 - x2 dx 29) dx (x2 + 81)3/2 ∫ 30) dx

MATHEMATICS...23. The integrating factor of the differential equation y 2log x dx dy xlogx is given by (A) ex (B) log x (C) log (log x) (D) x Ans : (B) Hints : x y dx x x dy 2. log

MATHEMATICS...23. The integrating factor of the differential equation y 2log x dx dy xlogx is given by (A) ex (B) log x (C) log (log x) (D) x Ans : (B) Hints : x y dx x x dy 2. log

Xe .ie :±÷÷÷¥÷÷÷÷¥÷ii¥÷...dy y xy dx x xy y = 7) sin sin tan tan cos cos dy x y xy dx x y == 8) 1cos sin y y dy y e x dx xe x + = 9) 2 2 x y x y dy y y e dx yxe = 10)

Xe .ie :±÷÷÷¥÷÷÷÷¥÷ii¥÷...dy y xy dx x xy y = 7) sin sin tan tan cos cos dy x y xy dx x y == 8) 1cos sin y y dy y e x dx xe x + = 9) 2 2 x y x y dy y y e dx yxe = 10)

Differential Geometry Jay Havaldar v[x] = dx dx v1 + dx dy v2 + dx dz v3 = v1 Intermsofthegradient: dx= v[x] = (1;0;0) v= v1 In other words, the differentialdxis a function which sends

Differential Geometry Jay Havaldar v[x] = dx dx v1 + dx dy v2 + dx dz v3 = v1 Intermsofthegradient: dx= v[x] = (1;0;0) v= v1 In other words, the differentialdxis a function which sends