Home
Class 12
MATHS
If I=int(sqrt(cotx)-sqrt(tanx))dx , is e...

If `I=int(sqrt(cotx)-sqrt(tanx))dx `, is equal to
(a) `sqrt(2)"log"(sqrt(tanx)-sqrt(cotx))+C`
(b)`sqrt(2)log|sinx+cosx+sqrt(sin2x)|+C`
(c) `sqrt(2)log| sin x-cosx+sqrt(2) sin xcosx|+C`
(d)`sqrt(2)log|sin(x+pi/4)+sqrt(2)sinxcosx|+C`

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

Find int[sqrt(cotx)+sqrt(tanx)]dx

Evaluate: int(sqrt(tanx)-sqrt(cotx))dx

Find int(2sqrt(tanx))/(sin2x)dx .

sqrt(cos 2x) + sqrt(1 + sin 2x) = 2sqrt(sin x + cos x) if

Prove that, int_(0)^((pi)/(2))(sqrt(tanx)+sqrt(cotx))dx=sqrt(2)pi

Find : int(sinx+cosx)/(sqrt(sin2x))dx

Solve sqrt(2 cos^(2)x+1)+ sqrt(2 sin^(2)x+1)=2 sqrt(2)

If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to (a) 2sinx//sqrt(sin2x) (b) 2cosx//sqrt(cos2x) (c) 2cosx//sqrt(sin2x) (d) 2sinx//sqrt(cos2x)

int_0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx)) dx

The integral intsqrt(cotx)e^(sqrt(sinx))sqrt(cosx)dx equals

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: int (sqrt(tanx)+sqrtcotx)dx

    Text Solution

    |

  2. IfI=int(dx)/((a^2-b^2x^2)^(3/2)),t h e nIe q u a l (a)x/(sqrt(a^2-b...

    Text Solution

    |

  3. If I=int(sqrt(cotx)-sqrt(tanx))dx , is equal to (a) sqrt(2)"log"(sqr...

    Text Solution

    |

  4. intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(lnb^(b^x))/(2a^(2x)b^(4x)))dx(...

    Text Solution

    |

  5. (inte^(x^4)(x+x^3+2x^5)e^(x^2) dx) is equal to (a)1/2x e^(x^2)e^(x^4...

    Text Solution

    |

  6. int(cos e c^2x-2005)/(cos^(2005)x)dx is equal to (a) -(cotx)/((cosx)^...

    Text Solution

    |

  7. If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x...

    Text Solution

    |

  8. If intf(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,then f(x) is equal to

    Text Solution

    |

  9. If xf(x)=3f^2(x)+2,t h e nint(2x^2-12 xf(x)+f(x))/((6f(x)-x)(x^2-f(x)...

    Text Solution

    |

  10. int dx/((1+sqrtx)sqrt(x-x^2) is equal to ?

    Text Solution

    |

  11. The value of integral inte^x(1/(sqrt(1+x^2))+(1-2x^2)/(sqrt((1+x^2)^5)...

    Text Solution

    |

  12. Evaluate: int sqrt(1+cosecx dx)

    Text Solution

    |

  13. If I=intsec^2xcos e c^4x dx=Acot^3x+Btanx+Ccotx+D , then find the valu...

    Text Solution

    |

  14. A curve g(x)=intx^(27)(1+x+x^2)^6(6x^2+5x+4)dx is passing through orig...

    Text Solution

    |

  15. If intsqrt(cos e cx+1)dx=kfog(x)+c ,w h e r ek is a real constant, th...

    Text Solution

    |

  16. int(x^4-1)/(x^2sqrt(x^4+x^2+1))dx= (a) sqrt(x^2+1/(x^2)+1)+C (b) (...

    Text Solution

    |

  17. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+...

    Text Solution

    |

  18. intsqrt(e^x-1)dx is equal to (a) 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+...

    Text Solution

    |

  19. If intsinx d(secx)=f(x)-g(x)+c ,t h e n f(x)=secx (b) f(x)=tanx g(x...

    Text Solution

    |

  20. If I=int(sinx+sin^3x)/(cos2x)dx=Pcosx+Qlog|f(x)|+R , then (a)P=1/2,Q...

    Text Solution

    |