Home
Class 12
MATHS
Evaluate the following integrals int(0...

Evaluate the following integrals
`int_(0)^(pi/2)(1)/(1+tan x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`pi/4`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 2.2 (LONG ANSWER QUESTIONS)|12 Videos
  • DEFINITE INTEGRALS

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

    AAKASH SERIES|Exercise EXERCISE - 2.2 (VERY SHORT ANSWER QUESTIONS)|9 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 the following integrals int_(0)^((pi)/(2)) log(tan x)dx

Evaluate the following integrals (iv) int_(0)^(pi//4)(1)/(1+sin x)dx

Evaluate the following integrals (ii) int_(0)^(pi/2)(3 tan x + 3 cot x)/(tan x + cot x) dx

Evaluate the following integrals (iii) int_(0)^(pi/2) (1)/(4 +5 cos x) dx

Evaluate the following integrals int_(1)^(2) x^(5) dx

Evaluate the following integrals (v) int_(0)^(1)x tan^(-1) x dx

Evaluate the following integrals (iv) int_(0)^(4)(x^(2))/(1+x)dx

Evaluate the following integrals (ii) int_(pi/6)^(pi/3)(1)/(1+ root (3)(tan x))dx

Evaluate the following integrals int_(0)^(2pi) cos x dx