Home
Class 12
MATHS
int0^pisin^3theta(1+2costheta)(1+costhet...

`int_0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta` is equal to (a)`1/3` (b) `8/3` (c) `3/2` (d) None of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int(1-costheta)^2 d theta is equal to

int(costheta-cos2theta)/(1-cos theta)d theta=

int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

int(costheta)/(7+sintheta-2cos^2theta)d theta is equal to

int_0^(pi/2) (a+bsintheta)^3costheta d theta

(sin3theta-cos3theta)/(sintheta+costheta)+1 =

costheta.cos2theta.cos3theta=1/4

The value of int(1+sin2theta)/(sintheta-costheta)d""theta is equal to

int((sintheta+costheta))/sqrt(sin2theta)"d"theta=

RESONANCE DPP-JEE MAINS-All Questions
  1. Two pillars of equal height stand on either side of a roadway which is...

    Text Solution

    |

  2. If the angles of elevation of the top of a tower from three colline...

    Text Solution

    |

  3. int0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta is equal to (a...

    Text Solution

    |

  4. If AD, BE and CF are the medians of a DeltaA B C ,t h e n(A D^2+B E^2+...

    Text Solution

    |

  5. The value of int(-(pi/4)^(1/3))^((pi/4)^(1/3))(x^2)/((1+sin^2x^3)(1+e...

    Text Solution

    |

  6. I(1)=int(0)^((pi)/2)In (sinx)dx, I(2)=int(-pi//4)^(pi//4)In(sinx+cosx)...

    Text Solution

    |

  7. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |

  8. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin (x^3)dx...

    Text Solution

    |

  9. In a triangle ABC if (s-a)/(a-b)=(s-c)/(b-c) then r1,r2,r3 are in AP

    Text Solution

    |

  10. Show that int0^(pi/2)sqrt((sin2theta))sinthetadtheta=pi/4

    Text Solution

    |

  11. If in triangle ABC (r)/(r(1))=(1)/(2), then the value of tan(A/2)(tan(...

    Text Solution

    |

  12. Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...

    Text Solution

    |

  13. A golf ball is dropped form a height of 80 m. Each time the ball hit...

    Text Solution

    |

  14. If |f(x1)-f(x2)|lt=(x1-x2)^2, for all x1, x2 in R , then the equati...

    Text Solution

    |

  15. If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=...

    Text Solution

    |

  16. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradie...

    Text Solution

    |

  17. A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costhe...

    Text Solution

    |

  18. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

    Text Solution

    |

  19. The locus of the point of intersection of the tangents at the extre...

    Text Solution

    |

  20. Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is mon...

    Text Solution

    |