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

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

Text Solution

Verified by Experts

We have given,
`int(sec^2x)/(tanx+2)dx`
`I=int(sec^2x)/(tanx+2)dx`
Let, `(d/dx)(tanx+2)=sec^2x`
`int(sec^2x)/(tanx+2)dx=int(d(tanx+2))/(tanx+2)dx`
As we know that,
`int(f'(x))/(f(x))dx=int(df(x))/(f(x))dx=ln|f(x)|+c`
Hence,
...
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

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

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

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

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

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

Evaluate int (sec^2x+tanx )dx