Home
Class 12
MATHS
The value of the integral int((sin x)/(x...

The value of the integral `int((sin x)/(x))^(6)((x cos x - sin x)/(x^2)) dx` is
(where , c is an arbitrary constant)

A

`(sin x)/(x) + C`

B

`(sin x)/(x^2) + C`

C

`(sin^7 x)/(x^7) + C`

D

`(sin^7 x)/(7x^7) + C`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 109

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 22

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

he value of the integral int e^(sin^(2x))(cos x+cos^(3)x)sin xdx is

What is int (x cos x + sin x) dx equal to ? Where c is an arbitrary constant

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

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

The value of the integral inte^(3sin^(-1)x)((1)/(sqrt(1-x^(2)))+e^(3cos^(-1)x))dx is equal to (where, c is an arbitrary constant)

The value of integral int_(0)^((pi)/(2))(cos x+i sin x)/(cos x-i sin x)dx

The integral int(sin^(2)x)/(cos^(4)x)dx is a

The value of the integral int_(0)^( pi/3)(x sin x)/(cos^(2)x)backslash dx is

int(sin^(-1)x)/(sqrt(1-x^(2)))dx is equal to Where, C is an arbitrary constant.

NTA MOCK TESTS-NTA JEE MOCK TEST 19-MATHEMATICS
  1. If the letters of the word CORONA are arranged in all possible ways an...

    Text Solution

    |

  2. The solution of the differential equation dy - (ydx)/(2x) = sqrt(x) yd...

    Text Solution

    |

  3. If (cot^-01 x)^2 -7(cot^-1 x)+10gt0 then range of x will be

    Text Solution

    |

  4. If alpha != beta but, alpha^(2) = 4alpha - 2 and beta^(2) = 4beta - 2 ...

    Text Solution

    |

  5. The sum up to 60 terms of 3/(1^2) + 5/(1^2 + 2^2) + 7/(1^2 + 2^2 + 3^2...

    Text Solution

    |

  6. If C(0), C(1), C(2),..., C(n) are binomial coefficients in the ex...

    Text Solution

    |

  7. The value of the integral int((sin x)/(x))^(6)((x cos x - sin x)/(x^2)...

    Text Solution

    |

  8. If the difference between the number of subsets of two sets A and B is...

    Text Solution

    |

  9. The function f : [0, 7] to [0, 70] where f(x) = x^(3) - 12x^(2) + 45x,...

    Text Solution

    |

  10. The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...

    Text Solution

    |

  11. The value of lim(x to 0) (log(sin 5x + cos 5x))/(tan 3x) is equal to

    Text Solution

    |

  12. The number of values of p for which the lines x+ y - 1 = 0, px + 2y + ...

    Text Solution

    |

  13. If y = 1/x , then the value of (dy)/(sqrt(1 + y^4)) + (dx)/(sqrt(1 + x...

    Text Solution

    |

  14. From a point P(3, 3) on the circle x^(2) + y^(2) =18 , two chords PQ a...

    Text Solution

    |

  15. The equation of parabola which cuts the parabola y^(2) = 4bx orthogona...

    Text Solution

    |

  16. If sum(i=1)^(5) (x(i) - 6) = 5 and sum(i=1)^(5)(x(i)-6)^(2) = 25, then...

    Text Solution

    |

  17. If the image of the point P(1, -2,3) in the plane 2x+ 3y + 4z + 22 = 0...

    Text Solution

    |

  18. tan^(6)20^(@) - 33tan^(2) 20^(@) + 27 tan^(2) 20^(@) + 4=

    Text Solution

    |

  19. If f(x) = {(sqrt(1 + sqrt(5 + x)-a)/((x-4)), 0 le x le 4),(b, x ge 4):...

    Text Solution

    |

  20. If P(1) = 1 - (w)/2 + (w^2)/4 - (w^3)/(8) + ……… oo and P(2) = (1 - om...

    Text Solution

    |