Home
Class 12
MATHS
Evaluate: inte^(3logx)(x^4+1)^(-1)\ dx...

Evaluate: `inte^(3logx)(x^4+1)^(-1)\ dx`

Text Solution

Verified by Experts

`inte^(3logx)(x^(4)+1)^(-1)dx=inte^(logx^(3))(dx)/(x^(4)+1)=int(x^(3)dx)/(x^(4)+1)`
`=(1)/(4)int(4x^(3))/(x^(4)+1)dx`
`=(1)/(4) log(x^(4)+1)+C`
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|531 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(logx)/x\ dx

Evaluate: int(logx)/(x^3)\ dx

Evaluate: int(logx)/(x^2)\ dx

Evaluate: int(logx^2)/(x)dx

Evaluate: int_1^2(logx)/(x^2)dx

Evaluate: int_1^2(logx)/(x)dx

Evaluate: int_0^1logx dx

Evaluate: int(3x)/(1+2x^4)dx

Evaluate: inte^x\ (logx+1/(x^2))\ dx

Evaluate: int{1/(logx)-1/((logx)^2)}\ dx