Home
Class 12
MATHS
{:(" "Lt),(x rarr 3):} (1)/(x-3) int(3)^...

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

A

`e^(3)`

B

`1/e`

C

`e^(2)`

D

e

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - II|156 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|23 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),(x rarr 0):} (int_(0)^(x^(2))sec^(2) t dt)/(x sin x) =

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

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

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

int x^(3)*e^(x^(2))dx=

Find the value of Lim_(x rarr 0) (1)/(x^(3)) int_(0)^(x) (t(ln (1+t)))/(t^(4) + 4)dt

Find {:(" Lt"),(xrarr0):}(e^(3+x)-e^(3))/(x)

Show that {:(" Lt"),(xrarr0):}(e^(3x)-1)/(x)=3