Home
Class 12
MATHS
Evaluated : (i) intx^(7)d, (ii) intx^(...

Evaluated :
(i) `intx^(7)d`, (ii) `intx^(-7)dx` , (iii) `intx^(-1)dx`
(iv) `intx^(5//3)`, (v) `intx^(-5//4) dx` , (vi) `int2^(x) dx`
(vii) `int3sqrt(x^(2))dx` , (vii) `int(1)/(4sqrt(x^(3))) dx` , (ix) `int 2/(x^(2))dx`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(x^(4))/(8) +C` , (ii) `- 1/(6x^(6)) + C` , (iii) `log |x| + C`
(iv) `3/8x^(8//3) + C` , (v) `-4x^(-1//4) + C` , (vi) `(2^(x))/(log 2) + C`
(vii) `3/5 x^(5//3) + C` , (viii) `4x^(1//4) + C` , (ix) `(-2)/(x) + C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    RS AGGARWAL|Exercise Objective Questions|41 Videos
  • INDEFINITE INTEGRAL

    RS AGGARWAL|Exercise Objective Questions|41 Videos
  • HOMOGENEOUS DIFFERENTIAL EQUATION

    RS AGGARWAL|Exercise Exercise 20|30 Videos
  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos

Similar Questions

Explore conceptually related problems

intx/(3-x^(2))dx

intx/sqrt(1-x^(2))dx

intx^(2)/sqrt(x^(3)+1)dx

Evaluate : (i) intx^(9)dx , (ii) int3sqrt(x) dx ,(iii) intdx (iv) int1/(x^(2))dx , (v) int(1)/(x^(1//3))dx , (vi) int5^(x) dx

intx^(5)/sqrt(1+x^(3))dx=

=intx^4/(sqrt(1-x^(5)))dx

intx/sqrt(x^(4)-4)dx=

intx/(x^(4)-1)dx=

intx^5/sqrt(1+x^2)dx

intx/sqrt(x^2+x+1)dx

RS AGGARWAL-INDEFINITE INTEGRAL -Exercise 12
  1. Evaluated : (i) intx^(7)d, (ii) intx^(-7)dx , (iii) intx^(-1)dx (...

    Text Solution

    |

  2. (i) int(6x^(5) - 2/(x^(4)) - 7x + 3/x - 5 + 4e^(x) + 7^(x))dx (ii) i...

    Text Solution

    |

  3. (i) int(2x-5x) (3+2x) (1-x) dx, (ii) int sqrt(x) (ax^(2) + bx + c) dx ...

    Text Solution

    |

  4. (i) int(x^(2) - 1/(x^(2)))^(3) dx , (ii) int(sqrt(x) -1/(sqrt(x))) dx ...

    Text Solution

    |

  5. int[1+(1)/((1+x^(2)))-(2)/(sqrt(1-x^(2)))+(5)/(x sqrt(x^(2)-1))+a^(x)]...

    Text Solution

    |

  6. (i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))...

    Text Solution

    |

  7. int(9sinx - 7 cosx - 6/(cos^(2)x) + 2/(sin^(2)x)+ cot^(2)x) dx

    Text Solution

    |

  8. int((cotx)/(sinx) - tan^(2)x -(tanx)/(cosx) + 2/(cosx)) dx

    Text Solution

    |

  9. (i) intsecx (secx +tanx) dx (ii) intcosec x(cosecx + cot x)dx

    Text Solution

    |

  10. (i)int (tanx + cot x)^(2) dx , (ii) int((1+2 sinx)/(cos^(2)x))dx , (i...

    Text Solution

    |

  11. (i) int(tanx)/((sec x +tanx))dx , (ii) int(1)/((1-sinx))dx

    Text Solution

    |

  12. (i) int (tanx)/((secx + tanx))dx ,(ii) int(cosecx)/((cosecx- cotx))dx

    Text Solution

    |

  13. (i) int (cosx)/(1+cosx)dx , (ii) int (sinx)/((1-sinx))dx

    Text Solution

    |

  14. (i) int sqrt(1+cos2x) dx , (ii) intsqrt(1-cos2x)dx

    Text Solution

    |

  15. (i) int(1)/((1+cos2x))dx , (ii) int (1)/((1-cos2x)) dx

    Text Solution

    |

  16. int sqrt(1+sin2x)dx

    Text Solution

    |

  17. int (sin^3x+cos^3x)/(sin^2x*cos^2x)dx

    Text Solution

    |

  18. int tan^(-1) ((sin2x)/(1+cos 2x))dx

    Text Solution

    |

  19. intcos^(-1) ((1+tan^(2)x)/(1+tan^(2) x)) dx

    Text Solution

    |

  20. int cos^(-1) (sinx) dx

    Text Solution

    |