Home
Class 12
MATHS
int(0)^(pi//4)(sin x + cos x)/(9+16 sin ...

`int_(0)^(pi//4)(sin x + cos x)/(9+16 sin 2 x )`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(20)(log 3)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)dx

Evaluate : int_(0)^(pi/4) (sinx+ cos x)/( 16 + 9sin2x)

int_(0)^(pi//2) ( sin x cos x )/( 1+ sin x ) dx is equal to

Using properties of definite integrals, evaluate: int_(0)^(pi//2) (sin x - cos x)/(1+sin x cos x) dx

Evaluate (i) int_(0)^(pi//2)(d x)/(1+sqrt(tan x)) (ii) int_(0)^(pi//2) log (tan x ) d x (iii) int_(0)^(pi//4) log (1+tan x ) d x (iv) int_(0)^(pi//2)(sin x- cos x)/(1+ sin x cos x)d x

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

Evaluate the definite integrals int_0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

Prove that : int_(0)^(pi//2) (sin x-cos x)/(1+sin x cos x)dx=0 " (ii) Prove that " : int_(0)^(pi//2) sin 2x. log (tan-x) dx=0

Prove that : int_(0)^(pi//2) (sin x -cos x) log (sin^(3) x + cos^(3)x) dx=0

The value of the integral int_(0)^(pi//4) (sin theta+cos theta)/(9+16 sin 2theta)d theta , is

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

    Text Solution

    |

  2. Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

    Text Solution

    |

  3. int(0)^(pi//4)(sin x + cos x)/(9+16 sin 2 x )

    Text Solution

    |

  4. Show that int(0)^(pi)xf(sinx)dx=(pi)/2 int(0)^(pi)"fr"(sinx)dx.

    Text Solution

    |

  5. Find the value of int(-1)^(3/2)|xsinpix|dx

    Text Solution

    |

  6. Evaluate int(0)^(1)(tx+1-x)^(n)dx, where n is a positive integer a...

    Text Solution

    |

  7. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dx is

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. Show that int0^(npi+v)|sinx|dx=2n+1-cosv , where n is a positive integ...

    Text Solution

    |

  10. Given a function f(x) such that It is integrable over every interval o...

    Text Solution

    |

  11. For any real number x ,l e t[x] denote the largest integer less than o...

    Text Solution

    |

  12. Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...

    Text Solution

    |

  13. Let f be a non-negative function defined on the interval [0,1]. If int...

    Text Solution

    |

  14. f(x)=int0^x f(t) dt=x+intx^1 tf(t)dt, then the value of f(1) is

    Text Solution

    |

  15. Let f : R to R be a differentiable function and f(1) = 4. Then, the va...

    Text Solution

    |

  16. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  17. Let f (x)= int (x^(2))^(x ^(3))(dt)/(ln t) for x gt 1 and g (x) = in...

    Text Solution

    |

  18. Let f(x)=|secxcosx s e c^2x+cotx cos e c\ x cos^2x cos^2x cos e c^2x1c...

    Text Solution

    |

  19. For x >0,l e tf(x)=int1^x((log)e t)/(1+t)dtdot Find the function...

    Text Solution

    |

  20. Let a+b=4,w h e r ea<2,a n dl e tg(x) be a differentiable function. If...

    Text Solution

    |