Home
Class 12
MATHS
int sqrt(1+sinx)dx " is equal to "...

` int sqrt(1+sinx)dx " is equal to "`

A

`sqrt(1-sinx)+C`

B

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

C

`2(cos(x//2)-sin(x//2))+C`

D

`2sqrt(1-sinx)+C`

Text Solution

Verified by Experts

The correct Answer is:
A
`I=int(sqrt(1+sinx)sqrt(1-sinx))/(sqrt(1-sinx))dx`
`=int(cosx)/(sqrt(1-sinx))dx=-2sqrt(1-sinx)+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise Exercises (Multiple Correct Answers Type)|17 Videos

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise Exercises (Linked Comprehension Type)|17 Videos

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 7.9|15 Videos

  • HYPERBOLA

    CENGAGE PUBLICATION|Exercise COMPREHENSION TYPE|2 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE PUBLICATION|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

int sqrt(sec x - 1) dx is equal to

The value of int sqrt(1+"sin"(x)/(4))dx is equal to -

The value of int sqrt(e^(x)-1)dx is equal to -

int sqrt(1+cosecx)dx

The value of int_(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is equal to -

The value of the integral int_ _(1+2sinx)e^(x)dx is equal to-

int x sinx sec^(3)x dx is equal to

int(2sinx)/(3+sin2x)dx is equal to

The value of int (sinx)/(sin(x-a)) dx is equal to -

int(In(tanx))/(sinx cosx)dx " is equal to "

CENGAGE PUBLICATION-INDEFINITE INTEGRATION-EXERCISES (Single Correct Answer Type)
  1. If int(cos4x+1)/(cotx-tanx)dx = Acos4x+B ,t h e n (a)A=-1/8 (b) B=1/...

    Text Solution

    |

  2. int(sqrt((a+x)/(a-x))+sqrt((a-x)/(a+x)))dx " is equal to "

    Text Solution

    |

  3. int sqrt(1+sinx)dx " is equal to "

    Text Solution

    |

  4. Evaluate: int((3sinx-2)cosx)/(5-cos^2x-4sinx)dx

    Text Solution

    |

  5. If intsqrt(1+sinx)f(x)dx=2/3(1+sinx)^(3/2)+c ,t h e nf(x)e q u a l co...

    Text Solution

    |

  6. int(sqrt(x-1))/(xsqrt(x+1))dx is e q u a l to ln|x-sqrt(x^...

    Text Solution

    |

  7. IfI=int(dx)/(secx+cos e cx),t h e nIe q u a l s

    Text Solution

    |

  8. int(sinx)/(sin(x-(pi)/(4)))dx " is equal to "

    Text Solution

    |

  9. Prove that, int(cos 5x + cos4x)/(1-2cos 3x)dx= -(1/2 sin2x + sinx)+c

    Text Solution

    |

  10. IfI=intsqrt((5-x)/(2+x))dx ,t h e nIe q u a l sqrt(x+2)sqrt(5+x)+3si...

    Text Solution

    |

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

    Text Solution

    |

  12. int(dx)/(x(x^n+1)) is equal to

    Text Solution

    |

  13. Evaluate:int (dx)/(sqrt (sin^3 xsin(x+alpha)

    Text Solution

    |

  14. int (px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1) dx is equal to (1...

    Text Solution

    |

  15. If y=int1/(1+x^2)^(3/2)dx and y=0 when x=0 , then value of y when x=1 ...

    Text Solution

    |

  16. int sqrt(x)(1+x^(1//3))^(4)dx " is equal to "

    Text Solution

    |

  17. int(In(tanx))/(sinx cosx)dx " is equal to "

    Text Solution

    |

  18. If m is a non-zero number and int (x^(5m-1)+2x^(4m-1))/(x^(2m)+x^m+1)^...

    Text Solution

    |

  19. If l^r(x) means logloglog...... x , the log being repeated r times, th...

    Text Solution

    |

  20. Evaluate: int (sqrt(tanx)+sqrtcotx)dx

    Text Solution

    |