Home
Class 12
MATHS
int(x^(7m)+x^(2m)+x^m)(2x^(6m)+7x^m+14)^...

`int(x^(7m)+x^(2m)+x^m)(2x^(6m)+7x^m+14)^(1/m)dx`

A

`((x^(7m)+x^(2m)+x^(m))^(m+1))/(m+1)+c`

B

`(1)/(14(m+1))(2x^(7m)+7x^(2m)+14x^(m))^((m+1)/(m))+c`

C

`(2x^(7m)+7x^(2m)+x^(m))^((m+1)/(m))+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|16 Videos
  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)|10 Videos
  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos
  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

Similar Questions

Explore conceptually related problems

For any natural number m, evaulate, int(x^(3m)+x^(2m)+x^(m))(2x^(2m)+3x^m+6)^(1//m)dx, x gt0

Evaluate: for m in Nint x^(3m)+x^(2n)+x^(m))(2x^(2m)+3x^(m)+6)^((1)/(m))dx,x>

If m is a non-zero number and int(x^(5m-1)+2x^(4m-1))/((x^(2m)+x^(m)+1)^(3))dx=f(x)+c, then f(x) is:

int(1)/(x(log x)^(m))dx

int (e^(m tan^(-1) x))/(1+x^(2)) dx=?

int(e^(m tan^(-1)x))/(1+x^(2))dx

int(sin^(m)x)/(cos^(m+2)x)dx=

int(m tan^(-1)x)/(1+x^(2))dx