Home
Class 12
MATHS
int0^pi((2x+3)sinx)/((1+cos^2x)dx...

`int_0^pi((2x+3)sinx)/((1+cos^2x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi(pi +3))/(2)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-I|15 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_0^pi(xsinx)/(1+cos^2x)dx

Evaluate (i) int_0^pi (x sin x)/(1+cos^2 x) dx Evaluate (ii) int_0^pi (4x sin x)/(1+ cos^2 x) dx

int(sinx)/(1+cos^2x)dx

int sinx/(1-cos^2x)dx

int_0^(pi/2) (sinx)/(1+Cos^2x)dx

I_(1) = int_(0)^(pi)(xsinx)/(1+cos^(2)x)dx, I_(2) = int_(0)^(pi)(x^(2)sinx)/((pi^(2)-3pix+3x^(2))(1+cos^(2)x))dx , then

int(sinx)/(1+cos^2x)dx=

int_(0)^(pi//2)(sinx)/((1+cos^(2)x))dx

int_(-pi)^(pi) (2x(1+ sinx))/(1+ cos^(2)x)dx is

MOTION-DEFINITE INTEGRATION -EXERCISE -3
  1. Evaluate :int0^(pi/2)(asinx+bcosx)/(sin(pi/4+x))dx

    Text Solution

    |

  2. int (0) ^(pi) ((ax +b) sec c tan x)/(4 + tan ^(2) x ) dx (a,b gt 0)

    Text Solution

    |

  3. int0^pi((2x+3)sinx)/((1+cos^2x)dx

    Text Solution

    |

  4. intxsin^(- 1)[1/2sqrt((2a-x)/a)]dx

    Text Solution

    |

  5. f,g, h , are continuous in [0, a],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-...

    Text Solution

    |

  6. Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

    Text Solution

    |

  7. The value of the integral underset(0)overset(pi)int (xdx)/(1+cos alpha...

    Text Solution

    |

  8. int (0) ^(pi//4) (x ^(2) (sin 2x -cos 2x ))/((1+ sin 2x ) cos ^(2) x) ...

    Text Solution

    |

  9. Evaluate: int ( 0 ) ^(pi) e ^(|cos x|)( 2 sin ((1)/(2)cos x )+ 3 cos...

    Text Solution

    |

  10. It is known that f(x) is an odd function in the interval [p/2, p/2] an...

    Text Solution

    |

  11. The value of int(-1)^2{2x}dx is (where function () denotes fractional ...

    Text Solution

    |

  12. If y=x^(int1^x ln t dt), find (dy)/(dx) at x=e.

    Text Solution

    |

  13. Evaluate (lim)(n->oo)n^2int(-1//n)^(1//n)(2010 s in x+2012cosx)|x|d...

    Text Solution

    |

  14. Prove the following inequalty sqrt3/8<int(pi/4)^(pi/3)sinx/x dx<sqrt2/...

    Text Solution

    |

  15. Prove that 4le int(1)^(3) sqrt(3+x^(3)) dx le 2sqrt30.

    Text Solution

    |

  16. Prove that pi/6<int0^1(dx)/(sqrt(4-x^2-x^3))<pi/(4sqrt(2))

    Text Solution

    |

  17. prove it 2e^(-1/4) < int0^2e^(x^2-x)dx < 2e^2

    Text Solution

    |

  18. If a lt overset(2pi)underset(0)int (1)/(10+3 cos x)dx lt b. Then the o...

    Text Solution

    |

  19. Prove the inequalities 1/2 le int (0) ^(2) (dx)/(2+x ^(2)) le 5/6

    Text Solution

    |

  20. Evaluate lim ( n to oo) sum( r =1) ^(n -1) (1)/(sqrt(n ^(2) -r ^(2))...

    Text Solution

    |