Home
Class 12
MATHS
If int sqrt(2) sqrt(1+ sinx) dx = -4 cos...

If `int sqrt(2) sqrt(1+ sinx) dx = -4 cos(ax + b) + C` then the value of (a,b) is :

A

`(1/2, pi/4)`

B

`(1, pi/2)`

C

(1,1)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 36

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos
  • NTA TPC JEE MAIN TEST 38

    NTA MOCK TESTS|Exercise Mathematics|30 Videos

Similar Questions

Explore conceptually related problems

If int sqrt2 sqrt (1 + sin x ) dx =- 4 cos (ax +b)+C then the value of (a,b) is :

If intsqrt(2)sqrt(1+sinx)dx=-4cos(ax+b)+c , then the value of (a,b) is

int(1)/(sqrt(1+sinx))dx=

intcossqrt(ax+b)/sqrt(ax+b)dx

int sqrt(ax+b) dx.

int(1)/(sinx sqrt(sinxcosx))dx=

If int _(a )^(b) |sin x |dx =8 and int _(0)^(a+b) |cos x| dx=9 then the value of (1)/(sqrt2pi) |int _(a)^(b) x sin x dx | is:

int(1)/(sinx sqrt(sinx cos x))dx=

int(1)/(sqrt(sinx cos^(3)x))dx=

int(cosx)/(sqrt(1+sinx))dx is equal to

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 37-MATHEMATICS
  1. If x cos alpha + y sin alpha =p is tangent to the curve y =-sqrt(x) ,...

    Text Solution

    |

  2. Let P = (-1,0), Q = (0,0) and R = (3, 3sqrt(3)) be three point. The eq...

    Text Solution

    |

  3. lf sum(n=1)^k [1/3 + n/90] = 21, where [x] denotes the integral part o...

    Text Solution

    |

  4. If the tangent at any point on the curve x^(4) + y^(4) = a^(4) cuts of...

    Text Solution

    |

  5. A continuous function f : R to R satisfies the differential equation f...

    Text Solution

    |

  6. If int sqrt(2) sqrt(1+ sinx) dx = -4 cos(ax + b) + C then the value o...

    Text Solution

    |

  7. p : Every quadratic equation has one real root and q Every quadratic e...

    Text Solution

    |

  8. The S.D. of the following data is nearly:

    Text Solution

    |

  9. Number of solutions of the equation (sqrt(6) - sqrt(2))/(sin x) + (s...

    Text Solution

    |

  10. Number of solutions of the equation sin^(-1)(sin 6x) =x in x in [0,pi]...

    Text Solution

    |

  11. The tens digit of 1! + 2! + 3! + ... + 49! Is:

    Text Solution

    |

  12. Let k(1) and k2 are two values of k for which the equation 4x^(2) -4(5...

    Text Solution

    |

  13. Let veca, vecb and vecc be three vectors such that |vecb| =2|veca| an...

    Text Solution

    |

  14. Let ("lim")(h to 0)(1/(hroot(3)(8+h)) - 1/(2h)) = k, then find 96k + 3...

    Text Solution

    |

  15. Let L = "lim"(n to infty) 1/n^(3) sum(k=1)^(n) k^(2)e^(k/n), then find...

    Text Solution

    |

  16. If f(x) ge 0AA x in (0,2) and y = f (x) makes positive intercepts havi...

    Text Solution

    |

  17. Find f(x) =(a^(x)-1)^(3)/(sin(x log a) log(1+x^(2) log a^(2)) and f(0...

    Text Solution

    |

  18. If x = 9 is the chord of contact of the hyperbola x^(2) - y^(2) =9, th...

    Text Solution

    |

  19. If tan(pi cos theta) = cot(pi sin theta), then 2 cos^(2)(theta - pi/4)...

    Text Solution

    |

  20. An urn contains 6 white and 4 black balls. A fair die is rolled and th...

    Text Solution

    |