Home
Class 12
MATHS
The value of int-pi^pi cos^2x/[1+a^x]dx,...

The value of `int_-pi^pi cos^2x/[1+a^x]dx`, a > 0 is

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

If a gt 0 , then the value of int_(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx is equal to -

The value of int_(pi)^(2pi)[ 2 cos x]dx is equal to -

The value of int_(-pi/2)^(pi/2) (x^2cosx)/(1+e^x) dx is equal to

The value of int_0^(pi/2)dx/(1+tan^3x) is

The value of int_0^pi sin^(50)x cos^(49)x dx is

The value of int_(0)^(pi)log sin^(2)x dx is equal to -

The value of int_(0)^(pi) e^(sin^(2)x) cos^(3)x dx is equal to -

The value of int_(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is

If f(x)=x+sinx , then find the value of int_pi^(2pi)f^(-1)(x)dx .

STATEMENT 1: The value of int_0^(2pi)cos^(99)x dx is 0 STATEMENT 2: int_0^(2a)f(x)dx=2int_0^af(x)dx ,if f(2a-x)=f(x) which of the statement is correct?Is statement 2 correct explanation of statement 1?

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Let f:(0,oo)to(0,oo) be a differentiable function satisfying, int0^x(1...

    Text Solution

    |

  2. If f(x)a n dg(x) are continuous functions, then int(1nlambda)^(1n1/lam...

    Text Solution

    |

  3. The value of int-pi^pi cos^2x/[1+a^x]dx, a > 0 is

    Text Solution

    |

  4. If b=int(0)^(1) (e^(t))/(t+1)dt, then int(a-1)^(a) (e^(-t))/(t-a-1) is

    Text Solution

    |

  5. If f(x)=x+sinx , then find the value of intpi^(2pi)f^(-1)(x)dx.

    Text Solution

    |

  6. Let F(x)=intx^[x^2+pi/6](2cos^2t)dt for all x in R and f:[0,1/2] -> [0...

    Text Solution

    |

  7. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  8. I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I2=int0^(2pi)cos^6xdx ,I3=in...

    Text Solution

    |

  9. The value of the integral int(e^(-1))^(e^2)|((log)e x)/x| dx is (A)...

    Text Solution

    |

  10. f(x)=int1^xlogt/(1+t+t^2)dt (xge1) then prove that f(x) =f(1/x)

    Text Solution

    |

  11. If f(x) = int0^pi (t sint dt) / (sqrt(1+tan^2xsin^2t)) for 0 < x < pi/...

    Text Solution

    |

  12. Evaluate: int(sqrt(2)-1)^(sqrt(2)+1)((x^2-1))/((x^2+1)^2)dx

    Text Solution

    |

  13. int0^x(2^t)/(2^([t]))dt ,w h e r e[dot] denotes the greatest integer f...

    Text Solution

    |

  14. Ify=int0^xf(t)sin{k(x-t)}dt ,t h e np rov et h a t(d^2y)/(dx^2)+k^2y=k...

    Text Solution

    |

  15. f(x) is a continuous function for all real values of x and satisfies i...

    Text Solution

    |

  16. If x=int0^y (dt)/sqrt(1+9t^2) and (d^2y)/(dx^2)=ay, then find a

    Text Solution

    |

  17. The value of int(1/e)^tanx(tdt)/(1+t^2)+int(1/e)^cotxdt/(t(1+t^2) is

    Text Solution

    |

  18. Prove that: y=int(1/8)^(sin^2x)sin^(-1)sqrt(t)dt+int(1/8)^(cos^2x)cos^...

    Text Solution

    |

  19. f(x)>0AAx in R and is bounded. If lim(n->oo)[int0^a(f(x)dx)/(f(x)+f(a...

    Text Solution

    |

  20. Evaluate: int1^a xdota^(-[(log)a x])dx ,(a >1)dot

    Text Solution

    |