Home
Class 12
MATHS
{:(" " Lt),( x rarr 0):} int(0)^(x^(2))(...

`{:(" " Lt),( x rarr 0):} int_(0)^(x^(2))(sin sqrt(t)dt)/(x^(3))=`

A

`1/3`

B

`2/3`

C

`4/3`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.1 (Level-1)|6 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - II|156 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

Lt_(xto0)(int_(0)^(x^(2))sinsqrttdt)/(x^(3))=

{:(" "Lt),(x rarr 0):} (int_(0)^(x) sin^(2)t cost dt)/(x^(3))=

{:(" " Lt),(x rarr 0):} (int_(0)^(x^(2))sec^(2) t dt)/(x sin x) =

{:(" " Lt),(x rarr0):}(int_(0)^(x) sin^(3) t dt)/(x^(4))=

{:(" "Lt),(x rarr 3):} (1)/(x-3) int_(3)^(x)e^(t)dt=

Lt_(xto0)((int_(0)^(x)tan^(2)tsec^(2)tdt)/(x^(3)))=

int_(0)^(oo)(dx)/((x+sqrt(x^(2)+1))^(3))=

Lt_(xto0)((int_(0)^(x)sin^(3)x)/(x^(4)))=