Home
Class 12
MATHS
int (0) ^(pi//2) e ^(x) cos xdx is equal...

`int _(0) ^(pi//2) e ^(x)` cos xdx is equal to

A

`(1)/(2) (e -1)`

B

`(1)/(2) (e ^(x) -1)`

C

`(1)/(2) (e ^(pi//2)-1)`

D

`(1)/(2) (1 - e ^( pi//2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • IPU QUESTION PAPER 2016

    IPUCET PREVIOUS YEAR PAPERS|Exercise Mathematics|49 Videos
  • IPU QUESTIONS PAPER 2017

    IPUCET PREVIOUS YEAR PAPERS|Exercise Mathematics|50 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2) e^(sin)x cos xdx is equal to

int_(0)^( pi/2)e^(x)xdx=

int _(0)^(pi//6) (2+3x^(2))cos 3 xdx is equal to

int_(0)^((pi)/(2))x sin x cos xdx

int_(0)^( pi/2)sin^(3)x cos xdx=?

int_(0)^( pi/2)sin^(3)x cos xdx=?

int_(0)^( pi/2)sin^(3)x cos xdx=?

int_(0)^( pi/2)sin^(3)x cos xdx=

int_(0)^( pi/2)sin^(2)x cos xdx

int_(0)^( pi/2)x sin x cos xdx

IPUCET PREVIOUS YEAR PAPERS-IPU QUESTION PAPER 2018-MATHEMATICS
  1. int e ^( sec x) tan x sec x dx is equal to

    Text Solution

    |

  2. Choose the most appropriate option. Solve for x (a ne 0) root (3) ...

    Text Solution

    |

  3. int (0) ^(pi//2) e ^(x) cos xdx is equal to

    Text Solution

    |

  4. Find the area of the gure bounded by the parabola y ^(2) = 4x and x ^(...

    Text Solution

    |

  5. Choose the most appropriate options. The eccentricity of the hyperbo...

    Text Solution

    |

  6. Consider sequences of positive real numbers of the form x, 2000, y, .....

    Text Solution

    |

  7. Choose the most appropriate options. The exradii of a triangle r (1)...

    Text Solution

    |

  8. Let f (x) = x ^(2) + 6x + 1 and let R denotes the set of points (x,y...

    Text Solution

    |

  9. Let n be a 5-digit number and let q and r be the quotient and remainde...

    Text Solution

    |

  10. Choose the most appropriate options If tan "" (2pi)/(18),x and tan "...

    Text Solution

    |

  11. A line segment with the end points A (3,-2) and B (6, 4) is divided in...

    Text Solution

    |

  12. Three mutually, tangent spheres of radius 1 rest on a horizontal plane...

    Text Solution

    |

  13. Choose the most appropriate options. If the line x-1=0 is the direct...

    Text Solution

    |

  14. lim ( x to 0) (1+ tan ^(2) sqrtx) ^(3//2) is equal to

    Text Solution

    |

  15. lim ( x to a) ( log a ^( x) -1)/( x -a) is equal to

    Text Solution

    |

  16. Choose the most appropriate options. For real x, let f (x) = x ^(3) ...

    Text Solution

    |

  17. lim ( x to 0) ( 1 - cos 4x )/( 2 sin ^(2) x +c tan 7x) is equal to

    Text Solution

    |

  18. Choose the most appropriate options. Negation of the statement ( p ^...

    Text Solution

    |

  19. Given the vertices of a triangle are A (1,-1, -3), B (2, 1, -2) and C ...

    Text Solution

    |

  20. It is known that AB=2a-6b and AC = 3a + b, · where a and b are mutuall...

    Text Solution

    |