Home
Class 12
MATHS
int ((sin^2xcos^2x)/(sin^3x+cos^3x))dx=...

`int ((sin^2xcos^2x)/(sin^3x+cos^3x))dx`=

A

`(1)/(1+cot^(3)x) + C`

B

`-(1)/(3(1+tan^(3)x))+C`

C

`(sin^(3)x)/(1+cos^(3)x)+C`

D

`(cos^3x)/(3(1+sin^(3)x))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( NUMERICAL ANSWER TYPE QUESTION )|15 Videos

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS |3 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_0^(pi//2)(sin^2xdotcos^2x)/((sin^3x+cos^3x)^2)dx

int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx

int(sin^2x+cos^2x)/(cos^3x)dx

The value of int(sin^(2)xcos^(2)x)/((sin^(3)x+cos^(3)x)^(2))dx , is

int(sin2xcos2x)/(sin^(4)2x+cos^(4)2x)dx=

The integral int(sin^(2)xcos^(2)x)/(sin^(5)x+cos^(3)xsin^(2)x+sin^(3)xcos^(2)x+cos^(5)x)^(2)dx is equal to (where c is a constant of integration)

Find int(sin^3x+cos^3x)/(sin^2xcos^2x)dx .

int sin^2x cos^3x dx

int sin^3x cos^2x dx

MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-QUESTION FROM PREVIOUS YEARS.AIEEE/JEE MAIN PAPERS
  1. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=

    Text Solution

    |

  2. The integral intxcos^(-1)((1-x^(2))/(1+x^(2)))dx(xgt0) is equal to

    Text Solution

    |

  3. int ((sin^2xcos^2x)/(sin^3x+cos^3x))dx=

    Text Solution

    |

  4. If m is a non-zero number and int (x^(5m-1)+2x^(4m-1))/(x^(2m)+x^m+1)^...

    Text Solution

    |

  5. The integral int(dx)/(x^(2)(x^(4)+1)^(3//4)) equal

    Text Solution

    |

  6. The integral I = int (dx)/((x+1)^(3//4)(x-2)^(5//4)) is equal to

    Text Solution

    |

  7. if I=int(log(t+sqrt(1+t^2)))/sqrt(1+t^2)dt=1/2(g(t))^2+c then g(2) is ...

    Text Solution

    |

  8. The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to ...

    Text Solution

    |

  9. The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C ...

    Text Solution

    |

  10. If int(1)/(cos^(2)xsqrt(2 sin2x))dx=(tanx)^(A)+C(tanx)^(B)+k, where k...

    Text Solution

    |

  11. Evaluate: intsqrt(1+2cotx(cotx+cosecx))dx

    Text Solution

    |

  12. I ff((3x-4)/(3x+4))=x+2, x!=4/3,andintf(x)dx=Alog|1-x|+B x+C then orde...

    Text Solution

    |

  13. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

    Text Solution

    |

  14. If int (2x + 5 )/(sqrt(7 - 6 x - x ^ 2 )) dx = A sqrt (7 - ...

    Text Solution

    |

  15. if f ((x- 4 ) /(x + 2 )) = 2 x + 1 , (x in R - { 1, - 2 }) , ...

    Text Solution

    |

  16. int\ (sin^2 x cos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^5x)^2 \ d...

    Text Solution

    |

  17. If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C, where C is a constant ...

    Text Solution

    |

  18. int(3x^(13)+2x^(11))/((2x^4+3x^2+1)^4)dx

    Text Solution

    |

  19. If int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(1-x^2))^m+C,for a suitable chose...

    Text Solution

    |

  20. If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C, where C is a constant of ...

    Text Solution

    |