Home
Class 12
MATHS
Evaluate the following: \int{-1}^1 frac{...

Evaluate the following: `\int_{-1}^1 frac{1+x^3}{9-x^2}` dx

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: If \int_{0}^k frac{1}{2+8x^2} dx = (pi)/16 , find k

Evaluate the following: int frac{1}{25- 9x^2} dx

Evaluate the following: int frac{1}{4x^2 -3} dx

Evaluate the following: \int_{0}^1 frac{1}{1+ sqrt x} dx

Evaluate the following: \int_{0}^(pi) frac{x}{1+sin^2x} dx

Evaluate the following: int frac{1}{7+2x^2} dx

Evaluate the following: int frac{1}{4x^2 -1} dx

Evaluate the following: int frac{1}{5x^2 +7} dx

Evaluate the following: int frac{1}{1+ x - x^2} dx

Evaluate the following: \int_{1}^oo frac{1}{ sqrt (x) (1+x)) dx

CHETANA PUBLICATION-Definite integration-Exercise
  1. Evaluate: \int{0}^(pi)x sin^3 x dx

    Text Solution

    |

  2. Evaluate: \int{0}^(pi) frac{x tan x}{sec x + tan x} dx

    Text Solution

    |

  3. Evaluate the following: \int{-1}^1 frac{1+x^3}{9-x^2} dx

    Text Solution

    |

  4. Prove that \int{0}^(2a) f(x) dx = \int{0}^a [f(x) + f(2a-x)] dx

    Text Solution

    |

  5. If \int{0}^h frac{1}{2+8x^2} dx = pi/6, then find the value of h.

    Text Solution

    |

  6. Prove that \int{a}^b f(x) dx = \int{a}^b f(a+b-x) dx

    Text Solution

    |

  7. Evaluate \int{0}^((pi)/2) frac{1}{1+cos x} dx

    Text Solution

    |

  8. Evaluate \int{0}^(pi) frac{x sin x}{1+sin x} dx

    Text Solution

    |

  9. Evaluate \int{0}^(pi) frac{x}{a^2 cos^2 x + b^2 sin^2 x} dx

    Text Solution

    |

  10. Prove that \int{-a}^a f(x) dx = 0, if f(x) is odd function, =2\int{0}...

    Text Solution

    |

  11. evaluate \int{0}^((pi)/2) frac{sin x}{sin x+ cos x} dx

    Text Solution

    |

  12. Evaluate: \int{-a}^a sqrt (frac {a-x}{a+x}) dx

    Text Solution

    |

  13. Evaluate: \int{0}^((pi)/2) cos^2 x dx

    Text Solution

    |

  14. \int{2}^3 frac{dx}{x(x^3 -1)}=.............. (A) 1/3 log(208/189) (B)...

    Text Solution

    |

  15. \int{0}^((pi)/2)frac{sin^2 x dx}{(1+cos x)^2}=........... A) frac{4-p...

    Text Solution

    |

  16. \int{0}^log 5 frac{e^x sqrt (e^x -1)}{e^x + 3} dx=........... A) 3+2p...

    Text Solution

    |

  17. \int{0}^((pi)/2) sin^6 x cos^2 x dx=............. (A) frac{7pi}{256} ...

    Text Solution

    |

  18. \int{0}^1 frac{dx}{sqrt (1+x) - sqrt x} = k/3, then k is equal to........

    Text Solution

    |

  19. \int{1}^2 frac{1}{x^2} e^(1/x) dx =................ A) sqrt e +1 B) s...

    Text Solution

    |

  20. \int{2}^a[1/log x - 1/(log x)^2] dx = a + b/ log 2 A) a=e, b=-2 B) ...

    Text Solution

    |