Home
Class 12
MATHS
Q. int0^pi(e^(cos^2x)( cos^3(2n+1) x dx,...

Q. `int_0^pi(e^(cos^2x)( cos^3(2n+1) x dx, n in I`

A

`x`

B

`1`

C

`0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|115 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

int_0^pi (cos^2x)dx ,

Q.int_(0)^( pi)(e^(cos^(2)x)(cos^(3)(2n+1)xdx,n in I

The value of int_(0)^(pi)e^(cos^(2)x)cos^(5)3x dx is

For any value of nin I, int_(0)^(pi)e^(cos^(2)x)cos^(3)[(2n+1)x]dx equals

For any integer n,the integral int_(0)^(3) e^(sin^(2)x)cos^(3)(2n+1)x" dx" has the value

The value of int_(0)^( pi)e^(sin^(2)x)cos(2n+1)xdx=

I= int_0^(pi)(x sin x)/(1+cos^(2)x)dx

TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. Let I(1) =int(a)^(pi-a)xf(sinx)dx,I(2)=int(a)^(pi-a)f(sinx)dx, then I(...

    Text Solution

    |

  2. If f(x)=(e^(2))/(1+e^(x)),I(1)=overset(f(a))underset(f(-a))int xg{x(1-...

    Text Solution

    |

  3. Q. int0^pi(e^(cos^2x)( cos^3(2n+1) x dx, n in I

    Text Solution

    |

  4. int0^pi x f(sin x)dx is equal to

    Text Solution

    |

  5. If I(1)=int(0)^(pi//2)f(sin2x)sin x dx and I(2)=int(0)^(pi//4)f(cos2x)...

    Text Solution

    |

  6. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

    Text Solution

    |

  7. int(-1)^(1) sin^(3) x cos^(2) x dx is equal to

    Text Solution

    |

  8. The value of int((pi)/4)/((-pi)/4)sin^(103)x .cos^(101)xdx is

    Text Solution

    |

  9. The value of int- 2^2(xcosx+sinx+1)dx is

    Text Solution

    |

  10. int(4)^(4)log((9-x)/(9+x))dx equals

    Text Solution

    |

  11. Evaluate the following : int(-pi//2)^(pi//2)log((2-sinx)/(2+sinx))d...

    Text Solution

    |

  12. To find the numberical value of overset(2)underset(-2)int (px^(3)+qx+8...

    Text Solution

    |

  13. If f(x)={(e^(cosx)sinx, |x|le2),(2, otherwise):} then int-2^3f(x)dx= (...

    Text Solution

    |

  14. int(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto -4 (b) 0 (c...

    Text Solution

    |

  15. If f(x) is defined on [-2, 2] by f(x) = 4x^2 – 3x + 1 and g(x) = (f(-x...

    Text Solution

    |

  16. int-2^2 |x| dx is equal to

    Text Solution

    |

  17. int(-2)^(2)|xcos pix|dx is equal to

    Text Solution

    |

  18. int(0)^(1) x tan^(-1) x " "dx =

    Text Solution

    |

  19. int(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x + cos^(4)x)dx=

    Text Solution

    |

  20. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x)) dx is

    Text Solution

    |