Home
Class 12
MATHS
int(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=...

`int_(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=`

A

2 log 3

B

`(1)/(2) log 3`

C

log 3

D

`(1)/(4) log 3.`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -I

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

  • MOCK TEST PAPER -III

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

int_0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(sinx-cosx)/(1+sinxcosx)dx

int_(0)^(pi/6) sin2x . cosx dx

int_0^(pi/2) (sinx-cosx)/(sinx+cosx) dx =

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

int_0^(pi/2) (asinx+bcosx)/(sinx+cosx) dx =

MODERN PUBLICATION-MOCK TEST PAPER -II-SELECT CORRECT ANSWER
  1. If sin^(-1) a is the acture angle between the curves x^(2) + y^(2) =4x...

    Text Solution

    |

  2. If linear function f(x) and g(x) satisfy int[(3x-1)cosx+(1-2x)sinx]dx=...

    Text Solution

    |

  3. int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

    Text Solution

    |

  4. int(x^(2) + 1)/(x^(4) + 1) dx =

    Text Solution

    |

  5. int(0)^(1) x (1-x)^(3//2) dx=

    Text Solution

    |

  6. int(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=

    Text Solution

    |

  7. If the are between y=mx^(2) and x= my^(2) (m gt 0 ) is (1)/(4) s...

    Text Solution

    |

  8. The order and degree of the differential equation : [ 1 + ( (d y) ...

    Text Solution

    |

  9. The general solution of the differential equation (dy)/(dx)+y/x=3x is

    Text Solution

    |

  10. The angle between two diagonals of a cube is

    Text Solution

    |

  11. Lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-K) and (x-1)/(K)=(y-4)/(2)=(z-5)/(1)...

    Text Solution

    |

  12. Equatin of line passing through the point (2,3,1) and parallel ...

    Text Solution

    |

  13. Let vec(a) = hat(i) - 2hat(j) +3hat(k) . If vec(b) is a vector such ...

    Text Solution

    |

  14. Let vec(a) = hat(i) - 2hat(j) +3hat(k) . If vec(b) is a vector such ...

    Text Solution

    |

  15. If direction cosines of a vector of magnitude 3 are 2/3 , - 9/3 , 2/3...

    Text Solution

    |

  16. If two dice are thrown simultaneously , then the probability that the ...

    Text Solution

    |

  17. A man takes a step forward with probability 0.4 and one step backw...

    Text Solution

    |

  18. The probability distribution of X is : {(X:,0,1,2,3),(P(X),0.2,k,k,...

    Text Solution

    |

  19. A box contains o red marbles number from 1 through 6 and 4 white ...

    Text Solution

    |

  20. An urn contains nine balls of which three are ed four are blue ...

    Text Solution

    |