Home
Class 12
MATHS
int(pi//4)^(3pi//4) (dx)/(1 + cos x) is ...

`int_(pi//4)^(3pi//4) (dx)/(1 + cos x)` is equal to :

A

2

B

minus 2

C

44228

D

minus 1/2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

int_(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

int_-(pi//2)^(pi//2) (dx)/(e^(sinx)+1) is equal to

int_(-pi//2)^(pi//2)(dx)/(e^(sin x)+1) is equal to

underset(-pi//4)overset(pi//4)int (dx)/(1+cos 2x) is equal to

int_(pi//4)^(pi//2)cot x dx=

int_(pi//6)^(pi//3) (dx)/(1 + sqrt(tan x)) =

int_(pi/6)^(pi/3) (dx)/(1+sqrtcotx) =

int_(pi/4)^((3pi)/4) |sinx| dx =

int_(0)^(pi//2) (sin x)/(1 +cos^2) dx .

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. The value of the integral int0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n...

    Text Solution

    |

  2. Let f(x) = x - [x], for every real number x, where [x] is integral par...

    Text Solution

    |

  3. int(pi//4)^(3pi//4) (dx)/(1 + cos x) is equal to :

    Text Solution

    |

  4. Let f(x) = int1^x sqrt(2 - t^2)dt. Then the real roots of the equation...

    Text Solution

    |

  5. The integral int(-1/2)^(1/2) {[x]+log((1+x)/(1-x))} dx equals

    Text Solution

    |

  6. The value of (5050 int0^(1) (1-x^(50))^(100)dx)/(int0^(1) (1-x^(50))^(...

    Text Solution

    |

  7. lim(x rarr pi/4)( int2^(sec^(2)x) f(t) dt)/(x^(2)-pi^(2)/16) equals

    Text Solution

    |

  8. The values of lim(x rarr 0) (1)/(x^(3)) int(0)^(x) (t In (1 + t))/(t^(...

    Text Solution

    |

  9. lim(n rarr oo) {(1^(m)+2^(m)+3^(m)+…….+n^(m))/(n^(m+1))} equals

    Text Solution

    |

  10. If I(1) = int0^(1) 2^(x^(2)) dx, I(2) = int0^(1) 2^(x^(3)) dx, I(3) = ...

    Text Solution

    |

  11. The value of the integral, int3^6 (sqrt(x))/(sqrt(9 - x) + sqrt(x))dx ...

    Text Solution

    |

  12. The solution for x of the equation : int(sqrt2)^(x) (dt)/(tsqrt(t^2 - ...

    Text Solution

    |

  13. Let I = int0^1 (sin x)/(sqrtx) dx and J = int0^1 (cos x)/(sqrtx) dx. T...

    Text Solution

    |

  14. int0^(pi) [cot x] dx, when [cdot] denotes the greatest integer functio...

    Text Solution

    |

  15. int(-2)^(2) |x| dx =

    Text Solution

    |

  16. Ifint0^(a) (1)/(1+4x^(2)) dx = pi/8 then a =

    Text Solution

    |

  17. int0^(2pi) e^(x/2) sin (x/2+pi/4) dx =

    Text Solution

    |

  18. The value of the integralint0^(3alpha) cosec(x-alpha) cosec(x-2alpha)d...

    Text Solution

    |

  19. lim(n rarr oo) { n/(n^(2)+1^(2)) + n/(n^(2)+2^(2))+......+ n/(n^(2)+n^...

    Text Solution

    |

  20. The value of the integral int0^(pi/4) (sin theta + cos theta)/(9+16 si...

    Text Solution

    |