Home
Class 12
MATHS
Value of the definite integral int(-1/2)...

Value of the definite integral `int_(-1/2)^(1/2)(sin^(- 1)(3x-4x^3)-cos^(- 1)(4x^3-3x))dx`

A

`0`

B

`-(pi)/(2)`

C

`(7pi)/(2)`

D

`(pi)/(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Competition level Questions|80 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Evaluate the definite integrals int_2^3 1/x dx

int(sin^(-1)(3x-4x^3)dx)

Evaluate the definite integrals int_2^3(dx)/(x^2-1)

The value of the definite integral int_(-1)^(1)(1+x)^(1//2)(1-x)^(3//2)dx equals

The value of the definite integral I=int_(-1)^(1)ln((2-sin^(3)x)/(2+sin^(3)x))dx is equal to

Evaluate the definite integral int_(pi/2)^(pi) e^x[(1-sin x)/(1-cos x)] dx

Evaluate the definite integrals int_0^1(2x+3"")/(5x^2+1)dx

The value of the definite integral int_(0)^(2) (sqrt(1+x ^(3))+""^(3) sqrt(x ^(2)+ 2x)) dx is :

Evaluate the definite integrals int_0^1(2x+3)/(5x^2+1)dx

Evaluate the definite integrals int_1^2(4x^3-5x^2+6x+9)dx

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
  1. int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...

    Text Solution

    |

  2. Let f(x)=(e^(x)+1)/(e^(x)-1) and int(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1)...

    Text Solution

    |

  3. Value of the definite integral int(-1/2)^(1/2)(sin^(- 1)(3x-4x^3)-cos^...

    Text Solution

    |

  4. Let f(x)=int(0)^(x)(sin^(100)t)/(sin^(100)t+cos^(100)t)dt, then f(2pi)...

    Text Solution

    |

  5. int(0)^(pi)(x.sin^(2)x.cosx)dx is equal to

    Text Solution

    |

  6. int0^1000 e^(x-[x])dx

    Text Solution

    |

  7. The value of the definite integral int(19)^37((x)^2+3(sin2pix))dx wher...

    Text Solution

    |

  8. If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...

    Text Solution

    |

  9. The value of ("lim")(n rarr oo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r...

    Text Solution

    |

  10. underset(kto0) lim1/kint0^k(1+sin2x)^(1/x)dx

    Text Solution

    |

  11. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

    Text Solution

    |

  12. Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...

    Text Solution

    |

  13. If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...

    Text Solution

    |

  14. If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...

    Text Solution

    |

  15. The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...

    Text Solution

    |

  16. Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e l s e w h e r e t h e nt h ev...

    Text Solution

    |

  17. Let g(x) be a continous and differentiable function such that int(0...

    Text Solution

    |

  18. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

    Text Solution

    |

  19. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

    Text Solution

    |

  20. int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=

    Text Solution

    |