Home
Class 12
MATHS
Evaluate the following integrals : int((...

Evaluate the following integrals : `int((x^3+8)(x-1))/(x^2-2x+4)dx`

Text Solution

Verified by Experts

`I=int((x^(3)+8)(x-1))/((x^(2)-2x+4))dx,`
`=int((x^(3)+(2)^(3))(x-1))/((x^(2)-2x+4))dx,`
`=int((x+2)(x^(2)+4-2x)(x-1))/((x^(2)-2x+4))dx,`
`=int(x+2)(x-1)dx=intx^(2)+x-2dx,`
`=(x^(3))/(3)+(x^(2))/(2)-2x+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

Evaluate the following integrals: int(3x+4)^(2)dx

Evaluate the following integrals: int(sin^(-1)x)/(x^(2))dx

Evaluate the following integrals: inte^(2x)((2x-1)/(4x^(2)))dx

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

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

Evaluate the following integrals: inte^(3x)((3x-1)/(9x^(2)))dx

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

Evaluate the following Integrals : int (x^(2))/((x-1)(x-2)(x-3))dx

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

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