Home
Class 12
MATHS
int((-pi)/(4))^((pi)/(4)) (dx)/(1+e^(tan...

`int_((-pi)/(4))^((pi)/(4)) (dx)/(1+e^(tan x))`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.4 (Level-1)|40 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise -2.5 (Level-1)|6 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise 2.2 (Level-1)|35 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

The integral int_((pi)/(4))^((3pi)/(4))(dx)/(1+cosx) is equal to

int_(-pi)^(pi) x^(4) Sin x dx=

int_(pi//4)^(3pi//4) (x)/(1+sin x) dx=

int_((pi)/(6))^((pi)/(3))(sec^(4)x)/("cosec"^(4) x + sec^(4)x) dx

Evaluate the definite integrals . int_(-pi//2)^(pi//2) (cosx)/(1+e^(x))dx

int_(- pi/4)^(pi/4) cos^(-4) x dx=

int_(pi//4)^(3pi//4)(1)/(1+cosx)dx

int_(-pi)^(pi)x^(4)sinxdx=

AAKASH SERIES-DEFINITE INTEGRALS-Exercise-2.3 (Level-1)
  1. int((pi)/(5))^((3pi)/(10))(f(sin x))/(f(sin x) + f(cos x)) dx

    Text Solution

    |

  2. Find underset(-a)overset(a)int(x^(2)+sqrt(a^(2)-x^(2)))dx

    Text Solution

    |

  3. Evaluate underset(-pi//2)overset(pi/2)int sin|x| dx

    Text Solution

    |

  4. Evaluate the following integrals (iii) int(-1)^(1)|x|dx

    Text Solution

    |

  5. int(pi)^((pi)/(2)) sin|2x|dx

    Text Solution

    |

  6. Evaluate the following integrals (iv) int(-1)^(1)(x^(4)+sin^(3)x)dx

    Text Solution

    |

  7. Evaluate the definite integrals . underset(-pi//2)overset(pi//2)int ...

    Text Solution

    |

  8. int(0)^(2pi)(1)/(1+e^(sinx))dx=

    Text Solution

    |

  9. int((-pi)/(4))^((pi)/(4)) (dx)/(1+e^(tan x))

    Text Solution

    |

  10. int(-1)^(1) (cos h x)/(1+e^(2x))dx=

    Text Solution

    |

  11. Show that int(0)^(a)x(a-x)^(n)dx=(a^(n+2))/((n+1)(n+2)). Hence find ...

    Text Solution

    |

  12. Evaluate the integral underset(0)overset(pi//4)int log(1+tanx)dx

    Text Solution

    |

  13. Evaluate the integral underset(0)overset(1)int (log(1+x))/(1+x^(2))d...

    Text Solution

    |

  14. Evaluate (i) int(0)^(pi/2) (sin^(2)x)/(sin x + cos x ) dx

    Text Solution

    |

  15. int(0)(pi//2) ( x dx)/(Sin x + Cos x)=

    Text Solution

    |

  16. Evaluate (i) int(0)^(pi) ( x sin x)/(1+ sin x) dx

    Text Solution

    |

  17. Evaluate the integral underset(0)overset(pi)int (xsinx)/(1+cos^(2)x)...

    Text Solution

    |

  18. Evaluate (iii) int(0)^(pi)(x sin^(3)x)/(1+cos^(2)x)dx

    Text Solution

    |

  19. Evaluate the integral underset(0)overset(pi)int x sin^(3)x dx

    Text Solution

    |

  20. Evaluate int(0)^(pi) sin^(3) theta(1+2 cos theta)(1+ cos theta)^(2) d ...

    Text Solution

    |