Home
Class 12
MATHS
If n is a positive integer, then find i...

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

Text Solution

Verified by Experts

The correct Answer is:
C
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

If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is

In a binomial expansion (1 + x)^n is a positive integer, the coefficients of 5th, 6th and 7th terms are in A.P., then the value of n is :

If m and n are positive integers and f(x) = int_1^x(t-a )^(2n) (t-b)^(2m+1) dt , a!=b , then

The coefficient of x^n , where n is any positive integer, in the expansion of (1+2x+3x^2 +... to oo)^(1//2) is:

If n is any positive integer , show that 2^(3n +3) -7n - 8 is divisible by 49 .

If A is a skew-symmetric matrix and n is odd positive integer, then A^n is a skew-symmetric matrix a symmetric matrix a diagonal matrix none of these

Evaluate int_(0)^(1)(tx+1-x)^(n)dx , where n is a positive integer and t is a parameter independent of x . Hence , show that int_0^1 ​ x^k (1−x)^(n−k) dx= P/([.^nC_k(n+1)]) ​ for k=0,1,......n , then P=

If a and b are distinct integers, prove that a- b is a factor of a^n -b^n , whenever n is a positive integer. [Hint write a^n = (a - b + b)^n and expand]

lim_(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0 , when n is a non-zero positive integer, then a is equal to

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

    |