Home
Class 12
MATHS
If I(1) = underset(0)overset(pi//2)int x...

If `I_(1) = underset(0)overset(pi//2)int x.sin xdx and I_(20 = underset(0)overset(pi//2)(int) x.cos x dx` then which one of the following is true?

A

`I_(1) = I_(2)`

B

`I_(1) + I_(2) = 0`

C

`I_(1) = (pi)/(2).I_(2)`

D

`I_(1) +I_(2) = (pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2012

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2014

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If I_(1)= int_(0)^(pi//2) x sin x dx and I_(2)=int_(0)^(pi//2) x cos x dx, then which one of the following is true ?

underset(0)overset(pi)intxf(sin x)dx=A underset(0)overset(pi//2)int f(sin x) dx then A is

underset(1)overset(e )int log x dx =

The value of underset(0)overset(pi//2)int log tan x dx is

underset(pi//4)overset(pi//2)(int) cosec^(2)xdx=....

underset(0)overset(pi//4)(int)log(1+tanx)dx=.....

int_(0)^(pi//2) cos 2x dx .

Evalute : underset(0)overset(2)(int) e^x dx as the limit of a sum.

underset(0)overset(pi//4)int log ((sin x+cos x)/(cos x))dx

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2013-Mathematics
  1. int(cos^(n-1)x)/(sin^(n+1)x)dx, n ne 0 is

    Text Solution

    |

  2. int((x-1)e^(x))/((x+1)^(3)) dx=

    Text Solution

    |

  3. If I(1) = underset(0)overset(pi//2)int x.sin xdx and I(20 = underset(0...

    Text Solution

    |

  4. The value of underset(-1)overset(2)int(|x|)/(x) dx is

    Text Solution

    |

  5. underset(0)overset(pi)int (cos^(4)x)/(cos^(4)x + sin^(4)x) dx=

    Text Solution

    |

  6. The area bounded by the curve y= sin((x)/(3)), x-axis and lines x=0 an...

    Text Solution

    |

  7. The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...

    Text Solution

    |

  8. If 'm' and 'n' are the order and degree of the differential equation (...

    Text Solution

    |

  9. If ((x+1)^(2))/(x^(3) +x) = (A)/(x) + (Bx +C)/(x^(2) +1) , then sin...

    Text Solution

    |

  10. The sum of the series, (1)/(2.3) .2 + (2)/(3.4).2^(2) + (3)/(4.5).2^(3...

    Text Solution

    |

  11. If the roots of the equation x^(3) + ax^(2) + bx + c = 0 are in A.P., ...

    Text Solution

    |

  12. If the value of C(0) + 2C(1) + 3C(2) + ……. + (n+1) C(n) =576 then n i...

    Text Solution

    |

  13. The inverse of the proposition (p ^^ ~q) rarr r is

    Text Solution

    |

  14. The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) whe...

    Text Solution

    |

  15. If the line 6x-7y +8+ lamda (3x-y+5) =0 is parallel to y-axis, then la...

    Text Solution

    |

  16. The angle between the lines sin^(2) alpha.y^(2) -2xy.cos^(2) alpha + (...

    Text Solution

    |

  17. The minimum area of the triangle formed by the variable line 3 cos the...

    Text Solution

    |

  18. log (sin 1^(@)) xx log (sin 2^(@)) xx log (sin 3^(@))…….log (sin 179^(...

    Text Solution

    |

  19. If sinx + sin y=(1)/(2) and cos x+cos y=1, then tan (x+y)=

    Text Solution

    |

  20. In a triangle ABC, if (cos A)/(a) = (cos B)/(b)= (cos C)/(c ) and a=2 ...

    Text Solution

    |