Home
Class 12
MATHS
Evaluate: int(sec^2x)/(3+tanx)\ dx...

Evaluate: `int(sec^2x)/(3+tanx)\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \( \int \frac{\sec^2 x}{3 + \tan x} \, dx \), we will use a substitution method. Here are the steps to solve the integral: ### Step 1: Identify the substitution We notice that the derivative of \( 3 + \tan x \) is \( \sec^2 x \). Therefore, we can let: \[ t = 3 + \tan x \] ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(sec^(2)x)/(3+tan x)dx

Evaluate: int(sec^2x)/(1-tan^2x)\ dx

Evaluate :int(sec^(2)x)/(3+tan x)dx

Evaluate: int(sec^(2)x)/(tan x+2)dx

Evaluate: int(sec^(2)x)/(1+tanx)dx

Evaluate : int (sec^2x/(1+tanx)dx)

Evaluate : int (sec^2x/(1+tanx)dx)

int(sec^2x)/(2+tanx)dx

Evaluate int sec^2x/(3+tan^2x)dx

Evaluate int sec^2x/(3+tan^2x)dx