Home
Class 12
MATHS
The primitive of the function f(x)=(2x+1...

The primitive of the function `f(x)=(2x+1)|sin x|`, when `pi lt x lt 2 pi` is

A

`-(2x+1)cos x + 2 sin x +C`

B

`(2x+1)cos x - 2 sin x +C`

C

`(x^(2)+x)cos x +C`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|5 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 6|10 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The primitive of the function f(x)= x | cos x| , when pi/2 lt x lt pi is given by

In [0,pi/2] the function f(x) = log sin x is

True or False : Rolle's Theorem is applicable to the function f(x) = |sin x| in [-pi/2,pi/2]

Find the absolute maximum and minimum values of the function. f(x) = sin^2 x - cos x, x in (0, pi)

If sin^(-1)x=y," then "-pi/2 lt y lt pi/2 .

Verify Rolle's theore for the following functions f(x) = sin x - sin 2x in the interval [0,2pi]

ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise (Single Option Correct Type Questions)
  1. Let f(x)=int(x^(2)dx)/((1+x^(2))(1+sqrt(1+x^(2))))and f(0)=0. f(1) i...

    Text Solution

    |

  2. If intf(x)dx=f(x), then int{f(x)}^2dx is equal to

    Text Solution

    |

  3. If int f(x)dx=F(x), then intx^3f(x^2)dx is equal to :

    Text Solution

    |

  4. If n is a positive integer, then find int x^n dx

    Text Solution

    |

  5. Let F(x) be the primitive of (3x+2)/(sqrt(x-9)) w.r.t. x. If F(10)=60...

    Text Solution

    |

  6. int[sin (ax+b) cos(ax+b)]dx is equal to

    Text Solution

    |

  7. The value of int x log x (log x - 1) dx is equal to

    Text Solution

    |

  8. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

    Text Solution

    |

  9. Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) t...

    Text Solution

    |

  10. Find int(x^4 + x^2)dx

    Text Solution

    |

  11. int tan^(4)x dx = A tan^(3) x+ B tan x + f(x), then

    Text Solution

    |

  12. If the anti derivative of int sin^4x/x dx is f(x) then int(sin^4(p+q)...

    Text Solution

    |

  13. Prove that : sin(9-theta\)=cos(81+theta)

    Text Solution

    |

  14. For x^2nenpi+1, n inN(the set of natural numbers), the integral intxsq...

    Text Solution

    |

  15. int(dx)/(cos(2x)cos(4x))=

    Text Solution

    |

  16. int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C, then f(x)...

    Text Solution

    |

  17. Evaluate int(sin^(3)xdx)/((cos^(4)x+3cos^(2)x+1)tan^(-1)(secx+cosx)).

    Text Solution

    |

  18. The primitive of the function f(x)= x | cos x|, when pi/2 lt x lt pi i...

    Text Solution

    |

  19. The primitive of the function f(x)=(2x+1)|sin x|, when pi lt x lt 2 p...

    Text Solution

    |

  20. int (cosx+sinx) dx is equal to :

    Text Solution

    |