Home
Class 12
PHYSICS
Integrate: (a) (3)/(2)sqrt3 (b) (3)/...

Integrate:
(a) `(3)/(2)sqrt3`
(b) `(3)/(2sqrtx)`
(c ) `sqrtx+(1)/(sqrtx)`

Text Solution

Verified by Experts

(a). `int(3)/(2)sqrt(xdx)=(3)/(2)(x^((3)/(2)))/((3)/(2))+C=sqrt(x^(3))+C`
(b). `int(3)/(2sqrt(x))dx=(3)/(2).(x^((1)/(2)))/((1)/(2))+C=3sqrt(x)+C`
(c ). `int(sqrt(x)+(1)/(sqrt(x)))dx=(x^((3)/(2)))/((3)/(2))+(x^((1)/(2)))/((3)/(2))+(x^((1)/(2))/((1)/(2))+C=(2 3sqrt(x))/(3)+2sqrt(x)+C`
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct Answer type|491 Videos
  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS ENGLISH|Exercise Integer|5 Videos
  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Single Answer Correct Type|22 Videos

Similar Questions

Explore conceptually related problems

y= log(sqrtx+1/sqrtx)

(d)/(dx)(sqrtx+(1)/(sqrtx))^2=

Find (dy)/(dx) If y=(sqrtx+1)/(sqrtx-1)

int (1/sqrtx-sqrtx)dx

lim_(x->1)sqrt(x+8)/sqrtx

int (1-x) sqrtx dx

int e^(sqrtx) dx

lim_(xrarr0^+) (sqrtx)/(sqrt(4-sqrtx)-sqrtx)

int (1+x)^3/sqrtx dx

int (a^sqrtx)/(sqrtx) dx equals

CENGAGE PHYSICS ENGLISH-CENGAGE PHYSICS DPP-subjective type
  1. Evaluate sqrt(26) correct upto two place of decimal

    Text Solution

    |

  2. Given that acceleration due to gravity varies inversely as the square ...

    Text Solution

    |

  3. Integrate: (a) (3)/(2)sqrt3 (b) (3)/(2sqrtx) (c ) sqrtx+(1)/(sqr...

    Text Solution

    |

  4. Integrate the following: int(2t-4)^(-4)dt

    Text Solution

    |

  5. Sketch the region whose area is represented by the definite integral a...

    Text Solution

    |

  6. Find the area under the curve y=cosx over the interval (a) [0,(pi)/(...

    Text Solution

    |

  7. A radius vector of point A relative to the origin varies with time t a...

    Text Solution

    |

  8. The speed of a body moving on a straight trach varies according to v=(...

    Text Solution

    |

  9. A particle moving along a straight line with a constant acceleration o...

    Text Solution

    |

  10. A driver having a definite reaction time is capable of stopping his ca...

    Text Solution

    |

  11. A boy throws a ball in air at 60^(@) to the horizontal along a road ...

    Text Solution

    |

  12. A girl riding a bicycle with a speed of 5 m//s to wards North directi...

    Text Solution

    |

  13. A cyclist starts from the centre O of a circular park of radius 1 km a...

    Text Solution

    |

  14. A rod AB is moving on a fixed circle of radius R with constant velocit...

    Text Solution

    |

  15. A helicopter of mass 2000 kg rises with a vertical acceleration of 15m...

    Text Solution

    |

  16. Find all the normal reaction N(AG),N(BG),N(AB) and the acceleration of...

    Text Solution

    |

  17. Two blocks are placed at rest on a smooth fixed inclined place. A forc...

    Text Solution

    |

  18. Find out the acceleration of the blocks and tensions in the strings.

    Text Solution

    |

  19. In which of the following cases the magnitude of acceleration of the b...

    Text Solution

    |

  20. The block of mass m is being pulled by a horizontal force F=2mg applie...

    Text Solution

    |