Home
Class 12
MATHS
Let int cos^(3)xdx = m sin x +(sin^(3)x)...

Let `int cos^(3)xdx = m sin x +(sin^(3)x)/n+c`, then n+2m is equal to

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Multiple Correct Answer Type|2 Videos

  • HYPERBOLA

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

If the equation (4cos^(2)x -2 sinx -3 ) sin x, then x is equal to (n in Z)

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

int(sin(2x)/(sin^4+cos^4x)dx is equal to

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

int(sin2x)/(sin5xsin3x)dx is equal to

IfI_(m , n)=intcos^m xsinn xdx , then 7I_(4,3)-4I_(3,2)" is equal to" (a) constant (b) -cos^2x+C (c) -cos^4xcos3x+C (d) cos7x-cos4x+C

int(cos^(-1)x+sin^(-1)x)dx is equal to

Let n ge 2 be a natural number and 0 lt theta lt (pi)/(2) , Then, int ((sin^(n)theta - sin theta)^(1/n) cos theta)/(sin^(n+1) theta)d theta is equal to (where C is a constant of integration)

If sin^(3) theta+sin theta cos theta+ cos^(3) theta=1 , then theta is equal to (n in Z)

CENGAGE-INDEFINITE INTEGRATION-Question Bank
  1. If f(x) = int((1+x)(1-x+x^(2))(1+x+x^(2))+x^(2))/(1+2x+3x^(2)+4x^(3)+3...

    Text Solution

    |

  2. If f(x) = int2e^(x) cos^(2)x(-tan^(2)x+tanx+1)dx and f(x) passes throu...

    Text Solution

    |

  3. If int (cosec^(2)x)/((cosec x + cot x)^(9/2)) dx = (cosec x - cot x)^(...

    Text Solution

    |

  4. intsin4x e^(tan^(2)x)dx = c-A cos^(4)x.e^(tan^(2)x) then A is equal to

    Text Solution

    |

  5. If int dx/(1+sqrt(x+1)+sqrt(x) ) = ax + bsqrtx+c int sqrt((x+1)/x)dx t...

    Text Solution

    |

  6. (4+x^(12))/((x^(6)-2x^(3)+2))dx = x^(alpha)/alpha +x^(beta)/gamma+delt...

    Text Solution

    |

  7. If f(x) =(3(Inx)^(2)+(In x)^(4))/(x(1+(In x)^(2)-(Inx)^(3))^(2))dx and...

    Text Solution

    |

  8. If int((log(ex)e)(log(e^(2)x)e)log(e^(3)x) e))1/x dx = Alog |1+logx|+B...

    Text Solution

    |

  9. Let int cos^(3)xdx = m sin x +(sin^(3)x)/n+c, then n+2m is equal to

    Text Solution

    |

  10. If int (x^(6)+7x^(5)+6x^(4)+5x^(3)+4x^(2)+3x+1)e^(x)dx is equal to sum...

    Text Solution

    |

  11. If int (e^x-1)/(e^x+1)dx=f(x)+C, then f(x) is equal to

    Text Solution

    |

  12. Let int (4+3x)/(x^(3)-2x-4)= In|(x-k)/(sqrt(x^(2)+kx+1))|+C, then k^(2...

    Text Solution

    |

  13. If int (x^(8)-12x^(4)+4)/(x^(4)-4x^(2)+2)dx = x^(a)/a + (4x^(b))/b +2x...

    Text Solution

    |

  14. Suppose A = int dx/(x^(2)+6x+25) and B= int dx/(x^(2)-6x-27). If 12(...

    Text Solution

    |

  15. Let int dx/(x^(2008)+x) = 1/p In((x^(q))/(1+x^(r)))+C where p,q,r in N...

    Text Solution

    |

  16. If int ((2x+3)dx)/(x(x+1)(x+2)(x+3)+1)=C-1/(f(x)) where f(x) is of t...

    Text Solution

    |

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

    Text Solution

    |

  18. If int (Insqrtx)/x dx = g(x)+Cwhere g(1) = 0, then g(e^(6)) is equal ...

    Text Solution

    |

  19. int(sin^(2)x)/(sec^(2)x-cos^(2)x) dx = lambda x - 1/mu tan^(-1)((tanx)...

    Text Solution

    |

  20. If int e^(x)((x+2)/(x+4))^(2) dx = e^(x)((x-alpha)/(x+beta))+C where C...

    Text Solution

    |