Home
Class 12
MATHS
Prove that: inttan^n xdx=1/(n-1)tan^(n-...

Prove that: `inttan^n xdx=1/(n-1)tan^(n-1)x-inttan^(n-2)xdx`

Text Solution

Verified by Experts

Given,
`int tan^nxdx`
`=int tan^(n−2)x(tan^2x)dx`
`=int tan^(n−2)x(sec^2x)dx−int tan^(n−2)xdx`
Let,
`tanx=t`
...
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

Prove that: int tan^(n)xdx=(1)/(n-1)tan^(n-1)x-int tan^(n-2)xdx

inttan^2xdx

inttan^5xdx

inttan^5xdx

inttan^3xdx

inttan^7xdx

inttan^(-1)xdx=….+C

Evaluate inttan^4xdx

Evaluate: inttan^-1xdx

int x^(n)log xdx