Home
Class 12
MATHS
int(0)^(pi//2) e^(x^(2))/(e^(x^(2)+ e^((...

`int_(0)^(pi//2) e^(x^(2))/(e^(x^(2)+ e^((pi/2-x)^(2))))dx=`

A

`(pi)/4`

B

`(pi)/2`

C

`e^((pi^(2))/16)`

D

`e^((pi^(2))/4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|148 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

int_(0)^( pi/2)e^(x)xdx=

int_(0)^( pi/2)e^(e^x)e^xdx=

int_(0)^(pi//2)e^(x)sinx dx=

int_(0)^(pi//2)e^(cos^(2)x)sin 2x dx=

Let I_(1)=int_(0)^(pi//4)e^(x^(2))dx, I_(2) = int_(0)^(pi//4) e^(x)dx, I_(3) = int_(0)^(pi//4)e^(x^(2)).sin x dx , then :

int_(0)^(pi//2) e^x(sinx+cosx) dx

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

int_(0)^(pi//2)(e^(sin x))/(e^(sin x)+e^(cos x))dx=

int_(0)^(pi//2) e^(x) cos x" " dx=

int_(0)^(pi//4)(e^(tanx))/(cos^(2)x)dx=?