Home
Class 12
MATHS
Evaluate the integrals. int (1 - x^(2)...

Evaluate the integrals.
`int (1 - x^(2))^(3)` dx , |x| `lt ` 1

Text Solution

Verified by Experts

The correct Answer is:
`x -x^(2) + (3)/(5) x^(5) - (x^(7))/(7) + c `
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.2(VERY SHORT ANSWER QUESTIONS)|57 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.2(SHORT ANSWER QUESTIONS )|29 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|3 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate the integrals. int (1 - sqrt(x))/(x ) dx

Find the values of the following integrals int(1-x^(2))^(3)dx,|x|lt1

Evaluate the following integrals int_(1)^(2) x^(5) dx

Evaluate the integral int_(0)^(1) x tan^(-1)x dx

Evaluate the following integrals. int(1)/(7x+3)dx

Evaluate the following integrals. int(1)/(1+4x^(2))dx

Evaluate the following integrals. int(1)/(8+2x^(2))dx

Evaluate the following integrals. int(1)/(x^(2)+x+1)dx

Evaluate the following integrals. int(1)/(x^(3)+1)dx

Evaluate the following integrals int e^(x) (1+x^(2))dx

AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.1(VERY SHORT ANSWER QUESTIONS)
  1. Evaluate the integrals. int (1 - sqrt(x))/(x ) dx

    Text Solution

    |

  2. Evaluate the integerals. int (1+(2)/3-(3)/(x^2)) dx "on " I sub R...

    Text Solution

    |

  3. Evaluate the integrals. int (1 - x^(2))^(3) dx , |x| lt 1

    Text Solution

    |

  4. Evaluate the integerals. int((sqrt(x)+1)/(x))^(2) dx " on " (0,oo)

    Text Solution

    |

  5. Evaluate the integerals. int ((3x+1)^(2))/(2x ) dx x in I sub R \...

    Text Solution

    |

  6. Evaluate the integrals. int [ (2x - 1)/(3 sqrt(x)) ]^(2) " dx , " (x...

    Text Solution

    |

  7. Evalute the following integrals int e^(-1"log(cosecx)") dx

    Text Solution

    |

  8. int cot ^(2)x dx=

    Text Solution

    |

  9. Evalute the following integrals int (tan^(2) x + 1) dx

    Text Solution

    |

  10. Evalute the following integrals int (1- sin x)/(cos^(2) x) dx

    Text Solution

    |

  11. Evalute the following integrals int e^(log(1+ tan^(2)x)) dx

    Text Solution

    |

  12. Evalute the following integrals int (1 + cos^(2)x )/(1 - cos 2x ) dx

    Text Solution

    |

  13. Evalute the following integrals int (1)/(sin^(2) " x cos"^(2)x) dx

    Text Solution

    |

  14. Evalute the following integrals int sqrt(1 - cos 2 x)" dx " x in [ 0...

    Text Solution

    |

  15. Evalute the following integrals int (1)/(1 + cos x) dx

    Text Solution

    |

  16. Evalute the following integrals int (1)/( 1 + sin x ) dx

    Text Solution

    |

  17. Evalute the following integrals int (sin x)/( 1 + sin " x") dx

    Text Solution

    |

  18. Evalute the following integrals int (2 cos ^(3) x + 3 sin^(3)x )/(si...

    Text Solution

    |

  19. Evalute the following integrals int ("cosec "x)/("cosec" x - cotx") ...

    Text Solution

    |

  20. Evaluate the integerals. int sqrt(1- sin 2x)dx on I sub{2n pi -(...

    Text Solution

    |