Home
Class 12
MATHS
int0^(pi) e^(sin^(2)x). cos^(3) x dx =...

`int_0^(pi) e^(sin^(2)x). cos^(3) x dx =`

A

minus 1

B

0

C

1

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

int_0^(pi/2) x sin^(2) x. cos^(2) x dx =

int_0^(pi/2) sin^(8)x. cos^(2)x dx =

int_0^(pi/2) sin^(2)x dx =

int_0^(pi) sin(x/2).cos(x/2) dx =

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. int(-1)^(1) log (x+sqrt(x^(2)+1))dx =

    Text Solution

    |

  2. If F(x) = int(x^(2))^(x^(3)) log t dt ,( t gt 0) then F^(')(x) is equa...

    Text Solution

    |

  3. int0^(pi) e^(sin^(2)x). cos^(3) x dx =

    Text Solution

    |

  4. The value of int0^(1) (dx)/(x+sqrt(1-x^(2))) dx

    Text Solution

    |

  5. inta^(b) (sqrtx dx)/(sqrtx + sqrt(a+b-x)) =

    Text Solution

    |

  6. The value of int2^(3) (x+1)/(x^(2)(x-1)) dx =

    Text Solution

    |

  7. If g(x) = (f(x)-f(-x))/2 defined over [-3,3] and f(x) = 2x^(2)-4x+1, t...

    Text Solution

    |

  8. int0^(pi/4) (cos x- sin x) dx + int(pi/4)^((5pi)/4) (sinx-cosx) dx + i...

    Text Solution

    |

  9. The value of the integral int0^(oo) log(x+1/x) (dx)/(x^2 +1) is

    Text Solution

    |

  10. If f: R rarr R and g:R rarr R are one-to-one, real valued functions, t...

    Text Solution

    |

  11. If int(log2)^(x) (du)/((e^(u)-1)^(1/2)) = pi/6, then e^(x) =

    Text Solution

    |

  12. The value of int0^(sin^(2)theta) sin^(-1) sqrtphi dphi + int0^(cos^(2)...

    Text Solution

    |

  13. int0^(10pi) |sin x| dx is

    Text Solution

    |

  14. int(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :

    Text Solution

    |

  15. int0^(sqrt2) [x^(2)] dx = , wher [x] is the greatest integer function

    Text Solution

    |

  16. If P = int0^(3pi) f(cos^(2)x) dx and Q = int0^(pi) f(cos^(2)x) dx then

    Text Solution

    |

  17. If int0^(1) (x^(7))/(sqrt(1-x^(4))) dx =

    Text Solution

    |

  18. Let I(1) = inta^(pi-a) xf (sin x) dx, I(2) = inta^(pi-a) f(sinx) dx th...

    Text Solution

    |

  19. The value of the integral int(1/n)^(((an-1))/(n)) sqrtx/(sqrt(a-x) + s...

    Text Solution

    |

  20. For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...

    Text Solution

    |