Home
Class 12
MATHS
int(sintheta)^(costheta)f(xtantheta)dx(w...

`int_(sintheta)^(costheta)f(xtantheta)dx(w h e r etheta!=(npi)/2,n in I))` is equal to (a) `-costhetaint_1^(tantheta)f(xsintheta)dx` (b)`-tanthetaint_(costheta)^(sintheta)f(x)dx` (c)`sinthetathetaint_1^(tantheta)f(xcostheta)dx` (d)`1/(tantheta)thetaint_(sintheta)^(sinthetatantheta)f(x)dx`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to

int_(a)^(b)f(x)dx is equal to-

int_(0)^(2a)f(x)dx is equal to -

int (f'(x))/(f(x))dx is equal to-

If int f(x) dx=f(x) , then int {f(x)}^(2)dx is equal to -

Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(x-sintheta))i s 2theta (b) theta (c) theta/2 (d) independent of theta

Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))) , where -pi/4ltthetaltpi /4 then the value of d/ (d(tantheta)) f(theta) is

Let f(theta)=sin(tan^(-1)((sintheta)/sqrt(cos2theta))) ",""where" -(pi)/(4)ltthetalt(pi)/(4),"then the valueof " (d)/(d(tantheta)){f(theta)} is -

If int g(x)dx = g(x) , then int g(x){f(x) - f'(x)}dx is equal to

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If int0^1(sint)/(1+t)dt=alpha, then the value of the integral int(4pi-...

    Text Solution

    |

  2. L e tI1=int0^1(e^xdx)/(1+x) a n dI2=int0^1(x^2dx)/(e^(x^3)(2-x^3))dot ...

    Text Solution

    |

  3. int(sintheta)^(costheta)f(xtantheta)dx(w h e r etheta!=(npi)/2,n in I...

    Text Solution

    |

  4. Let g(x)=int0^x f(t).dt,where f is such that 1/2<=f(t)<=1 for t in [0,...

    Text Solution

    |

  5. The value of int0^(pi/2) sin|2x-alpha|dx, where alpha in [0,pi], is (...

    Text Solution

    |

  6. IfIn=int0^pie^x(sin"x")^("n")dx ,t h e n(I3)/(I1)"is equal to" (a) 3/...

    Text Solution

    |

  7. int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...

    Text Solution

    |

  8. For any real number x, let [x] denote the largest integer less than or...

    Text Solution

    |

  9. evaluate: int0^(pi/4)2tan^3xdx is

    Text Solution

    |

  10. If f is continuous function and F(x)=int0^x((2t+3)*intt^2f(u)d u)dt , ...

    Text Solution

    |

  11. Let f'(x)=(192x^3)/(2+sin^4pix) for all x in R with f(1/2)=0.If mleint...

    Text Solution

    |

  12. If the value of lim(n rarr oo)(n^(-3/2)) sum(j=1)^(6n) sqrt(j) is equa...

    Text Solution

    |

  13. If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)

    Text Solution

    |

  14. If I=int0^((3pi)/4)[(1+x)sinx+(1-x)cosx]dx , then value of (sqrt(2)-1...

    Text Solution

    |

  15. The value of int1^a[x]f^(prime)(x)dx ,where a >1, and [x] denotes the ...

    Text Solution

    |

  16. The value of int(0)^(x)[cost]dt, x epsilon[(4n+1)(pi)/2,(4n+3)(pi)/2] ...

    Text Solution

    |

  17. Let f(x)=min({x},{-x})AA epsilonR, where {.} denotes the fractional pa...

    Text Solution

    |

  18. int1^4 {x-0.4}dx equals (where {x} is a fractional part of x

    Text Solution

    |

  19. The value of the definite integral int2^4(x(3-x)(4+x)(6-x)(10-x)+sinx...

    Text Solution

    |

  20. Ifx=intc^(sint)sin^(-1)z dz ,y=intk^(sqrt(t))(sinz^2)/zdz ,t h e n(dy)...

    Text Solution

    |