Home
Class 12
MATHS
The value of the definite integral overs...

The value of the definite integral `overset(3pi//4)underset(0)int(1+x)sin x+(1-x) cos x)dx` is

A

`2 tan (3pi)/(8)`

B

`2 tan(pi)/(4)`

C

`2 tan (pi)/(8)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|17 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 6|10 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

The value of the definite integral int_(0)^(3pi//4)(1+x)sin x+(1-x) cos x)dx is

The value of the definite integral int_(0)^((3 pi)/(4))((1+x)sin x+(1-x)cos x)dx, is

The value of the definite integral int_(0)^((pi)/(2))(sin^(-1)(cos x)+cos^(-1)(cos x))dx is equal to

The value of the definite integral int_(0)^(pi//2)sin x sin 2x sin 3x dx is equal to

Integrate int(x-sin x)/(1-cos x)dx

Given int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=ln2 then the value of the definite integral int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to

The value of the definite integral dx equals int_(0)^((pi)/(4))(sin x+cos x-1)/(2sin x*cos x)dx equals

Find the value of the definite integral int_(0)^( pi)|sqrt(2)sin x+2cos x|dx

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Single Option Correct Type Questions)
  1. int(-4)^(4) (sin^(-1)( sinx)+ cos^(-1)(cos x))/((1+x^(2))(1+[(x^(2))/(...

    Text Solution

    |

  2. The value of the definite integral int (0)^(infty) (dx)/((1+x^(a))(1...

    Text Solution

    |

  3. The value of the definite integral overset(3pi//4)underset(0)int(1+x)s...

    Text Solution

    |

  4. Let C(n)= int(1//n+1)^(1//n)(tan^(-1)(nx))/(sin^(-1) (nx)) dx , "then ...

    Text Solution

    |

  5. If [int0^1(dt)/(t^2+2tcosalpha+1)]x^2-[int- 3^3(t^2sin2t)/(t^2+1)dt]x-...

    Text Solution

    |

  6. If f(x) = e^(g(x)) and g (x) = int2 ^x dt/(1+t^4) then f' (2) is equa...

    Text Solution

    |

  7. If a, b and c are real numbers, then the value of lim(t to 0) In ((1)/...

    Text Solution

    |

  8. The value of lim(n to oo) sum(r=1)^(r=4n) (sqrtn)/(sqrt(r(3sqrtr+4sqrt...

    Text Solution

    |

  9. Let f(x) =int-1^x e^(t^2) dt and h(x)=f(1+g(x)), where g (x) is define...

    Text Solution

    |

  10. Let f(x) be a function satisfying f\'(x)=f(x) with f(0)=1 and g(x) be ...

    Text Solution

    |

  11. Let f(x)=int0^g(x) dx/sqrt(1+t^2) where g(x) =int0^cosx (1+sint^2) dt....

    Text Solution

    |

  12. For f(x) =x^(4) +|x|, let I(1)= int (0)^(pi)f(cos x) dx and I(2)= int(...

    Text Solution

    |

  13. Let f be a positive function. If I1 = int(1-k)^k x f[x(1-x)]\ dx and I...

    Text Solution

    |

  14. Suppose that the quadratic function f(x) = ax^(2) + bx +c is non-negat...

    Text Solution

    |

  15. Let I (a) =int(0)^(pi) ((x)/(a)+ a sin x)^(2) dx, where 'a' is positiv...

    Text Solution

    |

  16. The set of value of 'a' which satisfy the equation int0^2(t-log2a)dt...

    Text Solution

    |

  17. lim(x rarr infty) (x^(3) int(-1//x)^(1//x)("In" (1+t^(2)))/(1+e^(t)) d...

    Text Solution

    |

  18. The value of sqrt(pi(int(0)^(2008)x| sinpi x| dx)) is equal to

    Text Solution

    |

  19. lim(n rarr infty) sum(k=1)^(n) (n)/(n^(2)+k^(2)x^(2)),x gt 0 is equa...

    Text Solution

    |

  20. Let a gt 0 and f(x) is monotonic increase such that f(0)=0 and f(a)=b...

    Text Solution

    |