Home
Class 12
MATHS
Evaluate: int(x^3sin^(-1)x^2)/(sqrt(1-x^...

Evaluate: `int(x^3sin^(-1)x^2)/(sqrt(1-x^4))\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{x^3 \sin^{-1}(x^2)}{\sqrt{1 - x^4}} \, dx, \] we will use a substitution method. Let's go through the solution step by step. ...
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(sin^(-1)x^(3))/(sqrt(1-x^(2)) dx

Evaluate: (i) int(x sin^(-1)x^(2))/(sqrt(1-x^(4)))dx (ii) int x^(3)sin(x^(4)+1)dx

Evaluate: int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx

Evaluate: int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx

int(x sin^(-1)x)/(sqrt(1-x^(2)))dx

Evaluate int(sin^(-1)x)/(sqrt(1-x))dx

int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx

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

Evaluate: ( i int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx (ii) int((sin(2+3log x))/(x)dx