Home
Class 12
MATHS
Evaluate the following integrals: intc...

Evaluate the following integrals:
`intcos^(-1)(4x^(3)-3x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`3xcos^(-1)x-3sqrt(1-x^(2))+C`

Put `x=cost anddx=-sin"t dt. Use"(4cos^(3)t-3cost)=cos3t`.
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Objective Questions Ii|56 Videos
  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13B|34 Videos
  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos
  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: intcos^(4)xdx

Evaluate the following integrals: intcos^(4)2xdx

Evaluate the following integrals: intcos^(-1)sqrt(x)dx

Evaluate the following integrals: intcos^(3)(3x+5)dx

Evaluate the following integrals: intcos^(4)xsin^(3)xdx

integrate int cos^(-1)(4x^(3)-3x)dx

Evaluate the following integrals: intcos^3xsin^(4)dx

Evaluate the following integrals: intcos^(-1)((1-x^(2))/(1+x^(2)))dx

Evaluate the following integrals int (3x-1)/(4x^(2)-4x+17)dx

Evaluate the following integrals: intcos^(3)xsin2xdx