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

Evaluate: `inte^x(x-3)/((x-1)^3)\ dx`

Text Solution

Verified by Experts

`int frac{e^{x}(x-3)}{(x-1)^{3}} d x`
` =int e^{x}[frac{(x-1)-2}{(x-1)^{3}}] d x`
` =int e^{x}[frac{1}{(x-1)^{2}}+[frac{-2}{(x-1)^{3}})]`
` =e^x /(x-1)^{2}+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 :int e^(x)(x-3)/((x-1)^(3))dx

Evaluate: int e^(x)(x-1)/((x+1)^(3))dx

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

Evaluate int((x-3)e^(x))/((x-1)^(3))dx

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

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

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

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

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

Evaluate : int(x)/((x-3)(x+1))dx