Home
Class 12
MATHS
int(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi...

`int_(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto` `-4` (b) 0 (c) 4 (d) 6

A

`-4`

B

`0`

C

`4`

D

`6`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Linked Comprehension Type Questions|7 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Competition level Questions|76 Videos
  • DIFFERENTIAL EQUATIONS

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

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

Similar Questions

Explore conceptually related problems

int_(-2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)dx is equal to (A)-4(B)0(C)4(D)6

L e tI_1=thetaint_0^1(e^xdx)/(1+x)a n dI_2thetaint_0^1(x^2dx)/(e^x^3(2-x^3))dott e h n(I_1)/(I_2)i se q u a lto 3/e (b) e/3 (c) 3e (d) 1/(3e)

int (2x ^ (3) + 3x ^ (2) + 4x + 5) / (2x + 1) dx equls to: (A) (x ^ (3)) / (2) + (x ^ (2)) / (2) +3 (x) / (2) + (7) / (4) ln (2x + 1) + C (B) 5 (x ^ (3)) / (2) + 6 (x) / (2) + (7) / (4) ln (2x + 1) + C (C) 3 (x ^ (3)) / (2) + 3 (x ^ (2)) / (2) + (7 ) / (4) ln (2x + 1) + C (D) (x ^ (2)) / (2) + 3 (x) / (2) + (7) / (4) ln (2x + 1) + C

int_(0)^(1)(3x^(3)-4x^(2)+1)/(sqrt(x))dx=

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

Find int_0^1(4x^3+3x^2-2x+1)dx

The value of I=int_(-2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)cos(x+1)}dx , is

If y=int sqrt(x)(1+x^((1)/(3)))^(4)dx ise q u a lto

If int _(0)^(2)(3x ^(2) -3x +1) cos (x ^(3) -3x ^(2)+4x -2) dx = a sin (b), where a and b are positive integers. Find the value of (a+b).

AAKASH INSTITUTE-INTEGRALS-Objective Type Questions (Only one answer)
  1. I(1)=int(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I(2)=int(0)^(2pi)cos^(...

    Text Solution

    |

  2. Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" an...

    Text Solution

    |

  3. int(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto -4 (b) 0 (c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 1/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. The value of int (0)^(2)f(x) d x , where f(x)={(0",where" x = (n)/...

    Text Solution

    |

  17. Let g(x) be a continuous and differentiable function such that int0^2{...

    Text Solution

    |

  18. Let d/(dx) (F(x))= e^(sinx)/x, x>0. If int1^4 2e^sin(x^2)/x dx = F(k)...

    Text Solution

    |

  19. Let f:(0,oo)rarrR and F(x)=int0^x t.f(t)dt.If F(x^2)=x^4+x^5, then sum...

    Text Solution

    |

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

    Text Solution

    |