Home
Class 12
MATHS
int(e^x(1+x))/(cos^2 (e^x * x) )dx equal...

`int(e^x(1+x))/(cos^2 (e^x * x) )dx` equals(A) `-cot(e x^x)+C` (B) `tan(x e^x)+C`(C) `tan(e^x)+C` (D) `cot(e^x)+C`

A

(A) `-cot(e ^x*x)+C`

B

(B) `tan(x e^x)+C`

C

(C) `tan(e^x)+C`

D

(D) `cot(e^x)+C`

Text Solution

Verified by Experts

The correct Answer is:
`B`
Option `B` is the correct answer
Given `int(e^x(1+x))/(cos^2 (e^x * x) )dx`
Put `xe^x=t`
`=>e^x(1+x)dx=dt`
...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|46 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.1|22 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|44 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

int(e^x(1+x))/(cos^2(x e^x))\ dx= (a) 2(log)_ecos(x e^x)+C (b) sec(x e^x)+C (c) tan(x e^x)+C (d) tan(x+e^x)+C

int(e^x)/((1+e^x)(2+e^x))dx

Choose the correct answers int(dx)/(e^x+e^(-x)) is equal to(A) tan^(-1)(e^x)+C (B) tan^(-1)(e^(-x))+C (C) log(e^x-e^(-x))+C (D) log(e^x+e^(-x))+C

int e^x ((1-sinx)/(1-cosx)) dx= (A) e^xtan(x/2)+C (B) e^xcot(x/2)+C (C) -1/2 e^xtan(x/2)+C (D) -1/2 e^xcot(x/2)+C

int(x-1)\ e^(-x)\ dx is equal to x e^x+C (b) x e^x+C (c) -x e^(-x)+C (d) x e^(-x)+C

int e^(x). "(cot x- cosec"^(2)" x) dx "

int( x-1)e^(-x) dx is equal to : a) ( x- 2)e^(x) + C b) x e^(-x) + C c) - x e^(x) + C d) ( x+1)e^(-x) +C

Choose the correct answer intx^2e^(x^3)dx equals(A) 1/3e^(x^3) +C (B) 1/3e^(x^2)+C (C) 1/2e^(x^3)+C (D) 1/2e^(x^2)+C

The integral int(1+x-1/x)e^(x+1/x)dx is equal to (1) (x-1)e^(x+1/x)+C (2) x e^(x+1/x)+C (3) (x+1)e^(x+1/x)+C (4) -x e^(x+1/x)+C

int (e^x+e^{-x})(e^x-e^{-x}) dx