Home
Class 12
MATHS
Evaluate (i) int(0)^(pi/2) (sin^(2)x)...

Evaluate
(i) `int_(0)^(pi/2) (sin^(2)x)/(sin x + cos x ) dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(2)) log ( sqrt(2)+1)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 2.3 ( VERY SHORT ANSWER QUESTIONS)|23 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 2.3 (SHORT ANSWER QUESTIONS)|7 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 2.2 (SHORT ANSWER QUESTIONS)|10 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

Evaluate (i) int_(0)^(pi//2) sin^(2) x dx

Evaluate (i) int_(0)^(pi) ( x sin x)/(1+ sin x) dx

Evaluate int_(0)^((pi)/(2)) sin^(2)x dx

Find int_(0)^(pi//2) (sin^(5)x)/(sin^(5)x + cos^(5)x)dx

Evaluate int_(0)^(pi//2) (1)/(sin x + cos x) dx

Evaluate (i) int_(0)^(pi/3) (cos x)/(3+ 4 sin x)dx

int_(0)^((pi)/(2)) x^(2) sin x dx

Evaluate int_(0)^(pi/2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx