Home
Class 12
MATHS
int0^pi(xtanx)/(secx+cosx)dx is (pi^2)/...

`int_0^pi(xtanx)/(secx+cosx)dx is` `(pi^2)/4` (b) `(pi^2)/2` (c) `(3pi^2)/2` (d) `(pi^2)/3`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi)(xtanx dx)/(secx+tanx)

int_(0)^(pi)(dx)/(3+2sinx+cosx)

int_(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dx i s equal to (pi^2)/6 (b) (pi^2)/3 (c) (pi^2)/8 (d) (3pi^2)/8

int _0^(pi/2) (sin^2x)/(sinx+cosx)dx

Evaluate : int_0^pi(xtanx)/(secx+tanx)dx

int_(0)^(pi)(xtanxdx)/(tanx+secx)=(pi)/(2)(pi-2)

int_(0)^((pi)/(2))(dx)/(1+cosx)

int_(0)^((pi)/(4))xcosxcos3xdx=(pi+2)/(16)

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2))

The sum of all the solution in [0,4pi] of the equation tanx+cotx+1=cos(x+pi/4)i s (a) 3pi (b) pi/2 (c) (7pi)/2 (d) 4pi

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

    Text Solution

    |

  2. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...

    Text Solution

    |

  3. int0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2...

    Text Solution

    |

  4. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" 4 (b) ...

    Text Solution

    |

  5. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

    Text Solution

    |

  6. Which of the following is incorrect? int(a+ c)^(b+c)f(x)dx=inta^bf(x...

    Text Solution

    |

  7. The value of the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n i...

    Text Solution

    |

  8. Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

    Text Solution

    |

  9. int0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logx dx is equal to (a) -pi/2logpi (...

    Text Solution

    |

  10. If f(x)="cos"(tan^(-1)x), then the value of the integral int0^1xf''(x)...

    Text Solution

    |

  11. The equation of the curve is y=f(x)dot The tangents at [1,f(1),[2,f(2)...

    Text Solution

    |

  12. The value of int1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is (a) tane (b)...

    Text Solution

    |

  13. If f(pi) = 2 and int0^pi (f(x)+f^('')(x)) sinx dx=5, then f(0) is equa...

    Text Solution

    |

  14. If int1^2e^(x^2)dx=a ,t h e ninte^(e^4)sqrt(1n x)dx is equal to (a)...

    Text Solution

    |

  15. int(-pi/2)^(pi/2)(e^(|sinx|)cosx)/(1+e^(tanx))dx is equal to (a) e...

    Text Solution

    |

  16. The value of the expression (int0^a x^4(sqrt(a^2-x^2))dx)/(int0^a x^2(...

    Text Solution

    |

  17. IfA=int0^pi(cosx)/((x+2)^2)dx ,t h e nint0^(pi/2)(sin2x)/(x+1)dx is eq...

    Text Solution

    |

  18. int0^4((y^2-4y+5)sin(y-2)dy)/([2y^2-8y+11]) is equal to (a) 0 (b) 2 ...

    Text Solution

    |

  19. The values of a for which the integral int0^2|x-a|dxgeq1 is satisfie...

    Text Solution

    |

  20. evaluate: I=int(2x)/((x^2+1)(x^2+3))dx is

    Text Solution

    |