Home
Class 12
MATHS
int((x^(2)+1))/((x+3)(x-3))dx...

`int((x^(2)+1))/((x+3)(x-3))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(5)/(2) log |x-3|-(3)/(2)log |x-1|+(1)/((x-1))+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Exercise 15B|40 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions I|32 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos

  • INDEFINITE INTEGRAL

    RS AGGARWAL|Exercise Objective Questions|41 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Objective Questons|57 Videos

Similar Questions

Explore conceptually related problems

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

int(2x^(3))/((x+1)(x-3)^(2))dx

int((x^(2)+3)dx)/(x-1)

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

int(x^(2)+3x-1)/((x+1)^(2))dx

If int(x^(2)+1)/((x-1)^(2)(x+3))dx=(3)/(8)log|x-1|-(1)/(2(x-1))+F(x)+C then 8F'(2) equals to

int(x^(3)+2)/((x-1)(x-2)^(3))dx=

int(3x^(2)+1)/((x^(2)-1)^(3))dx

int(x^(2)+1)/(x^(3)+3x+3)dx

int(x^(2)+1)/(x^(3)+3x+3)dx