Home
Class 12
MATHS
Prove the following: int0^(pi/4) (2tan^3...

Prove the following: `int_0^(pi/4) (2tan^3x)dx = 1-log2`

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

  • EXCLUSIVELY FOR JEE(ADVANCED)

    MODERN PUBLICATION|Exercise EXERCISE|38 Videos

  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos

Similar Questions

Explore conceptually related problems

Prove the following: int_0^1 (sin^(-1)x)dx = (pi/2)-1

Evalute int_0^(pi/4) 2tan^3xdx'

Prove the following: (tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

Find the error in steps to evaluate the following integral int_(0)^(pi)(dx)/(1+2 sin ^(2) x )=int _(0)^(pi)(sec^(2)xdx)/(sec^(2)x+2 tan^(2)x)=int_(0)^(pi) (sec^(2)xdx)/(1+3 tan^(2)x) =(1)/(sqrt3)[tan^(-1)(sqrt3 tan x)]_(0)^(pi)=0

Solve the following equations: tan^-1 2 x + tan^-1 3x = pi/4, x > 0

Prove that following: underset(0)overset(pi)int(xtanx)/(secx+Tanx)dx = pi((pi)/(2) -1)

Evaluate int_(0)^(π/4) (tan^2x + 1) dx

MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Prove the following: int0^(pi/4) (2tan^3x)dx = 1-log2

    Text Solution

    |

  2. For the following (1-4) different results,Write the corresponding inte...

    Text Solution

    |

  3. For the following (1-4) different results,Write the corresponding inte...

    Text Solution

    |

  4. For the following (1-4) different results,Write the corresponding inte...

    Text Solution

    |

  5. For the following (1-4) different results,Write the corresponding inte...

    Text Solution

    |

  6. For the following (1-4) different results,Write the corresponding inte...

    Text Solution

    |

  7. For the following (1-4) different results,Write the corresponding inte...

    Text Solution

    |

  8. For the following (5-7) different results,Write the corresponding inte...

    Text Solution

    |

  9. For the following (5-7) different results,Write the corresponding inte...

    Text Solution

    |

  10. For the following (5-7) different results,Write the corresponding inte...

    Text Solution

    |

  11. Find an anti derivative (or integral) of the following functions by th...

    Text Solution

    |

  12. Write an anti derivative for each of the following functions using the...

    Text Solution

    |

  13. Find an anti derivative (or integral) of the following functions by th...

    Text Solution

    |

  14. Find an anti derivative (or integral) of the following functions by th...

    Text Solution

    |

  15. write down the integrals of the following (9-15) : x^4+x^-5

    Text Solution

    |

  16. write down the integrals of the following (9-15) : 1/x*x !=0

    Text Solution

    |

  17. write down the integrals of the following (9-15) : x+1/x*x !=0

    Text Solution

    |

  18. Find the following integrals: int (x^(2/3) +1)dx

    Text Solution

    |

  19. write down the integrals of the following (9-15) : (3/sqrtx+5x^4) .

    Text Solution

    |

  20. write down the integrals of the following (9-15) : cos2x

    Text Solution

    |

  21. Find the following integrals: int (sinx+cosx)dx

    Text Solution

    |