Home
Class 12
MATHS
The integral int[2x^[12]+5x^9]/[x^5+x^3...

The integral `int[2x^[12]+5x^9]/[x^5+x^3+1]^3.dx` is equal to-
(A) `x^10 / (2(x^5 + x^3 +1)^2) `
(B) `x^5/ (2(x^5 + x^3 +1)^2) `
(C) `-x^10 / (2(x^5 + x^3 +1)^2) `
(D) `- x^5 / (2(x^5 + x^3 +1)^2) `

A

`(x^(10))/(2(x^(5)+x^(3)+1)^(2))+C`

B

`x^(5)/(2(x^(5)+x^(3)+1)^(2))+C`

C

`-x^(10)/(2(x^(5)+x^(3)+1)^(2))+C`

D

`-x^(5)/(x^(5)+x^(3)+1)^(2)+C`

Text Solution

Verified by Experts

1
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise HIGH LEVEL PROBLEMS (HLP)|29 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise Exercise-3 Part I- JEE ADVANCED/ IIT-JEE PROBLEMS|8 Videos
  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

Similar Questions

Explore conceptually related problems

The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to (where C is a constant of integration)

x^2\ x\ \ 2y^3\ x\ \ 5x^3y^2 is equal to: (a) 10 x^2y^5 (b) 10 x^5y^2 (c) 10 x^5y^5 (d) x^5y^5

(x^2-1)/(2x+5)<3

(x^2-1)/(2x+5)<3

The integral int (sin^2xcos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^5x)^2 dx is equal to

(2/3)^(-5)x\ (5/7)^(-5) is equal to (a) (2/3x5/7)^(-10) (b) (2/3x5/7)^(-5) (c) (2/3x5/7)^(25) (d) (2/3x5/7)^(-25)

Evaluate: int_1^3(2x^2+5x)dx

Evaluate: int_1^3(2x^2+5x)dx

If 3x - (1)/(3x ) =5 , find : (i) 9x^(2) + (1)/( 9x^2)

2[(1)/(2x + 1) + (1)/(3(2x + 1)^(3)) + (1)/(5(2x + 1)^(5)) + (1)/(5(2x + 1)^(5)) + …] is equal to ,