Home
Class 12
MATHS
Evaluate: int(3x^(2)"tan"(1)/(x)-x"sec"...

Evaluate: `int(3x^(2)"tan"(1)/(x)-x"sec"^(2)(1)/(x))dx`

Text Solution

Verified by Experts

`int(3x^(2)"tan"(1)/(x)-x"sec"^(2)(1)/(x))dx`
`=int3x^(2)"tan"(1)/(x)dx-int x"sec"^(2)(1)/(x)dx+tan(1/x)int 3x^2dx-intsec^2 1/x (-1/x^2)x^3 dx+int x sec^2 1/x dx`
`="tan"(1)/(x)x^(3)+int("sec"^(2)(1)/(x))- xdx-int x "sec"^(2)(1)/(x)dx`
`=x^(3)"tan"(1)/(x)+c`
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

The value of int(3x^(2)"tan"(1)/(x)-x "sec"^(2)(1)/(x))dx is

Evaluate: int(3x^2tan(1/x)-xsec^2(1/x))dx

Evaluate: inte^(tan^-1x)/(1+x^2)dx

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

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

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

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

Evaluate: int_(0)^(1)x(tan^(-1)x)^(2)dx

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

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