Home
Class 12
MATHS
Observer the following statements : A...

Observer the following statements :
A : `int (x^(2)-1)/(x^(2)) e^((x^(2)+1)/(x))dx=e^((x^(2)+1)/(x))+c`
R: `int f'(x)e^(f(x))dx=f(x)+c`
Then which of the following is true ?

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-3)|4 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

int (1)/(x^(2)) e^((x - 1)/(x)) dx =

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

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

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

int (1)/((e^(x) - e^(-x))^(2)) dx =

int (e^(x))/(e^(x//2)-1)dx=

int ((1+x)e^(x))/(cos^(2)( xe^(x)))dx=

int (3-x^(2))/(1-2x+x^(2))e^(x)dx=e^(x)f(x)+c rArr f(x)=