Home
Class 12
MATHS
Evaluate : int(0)^(1)(e^(sqrt(x)))/(sqrt...

Evaluate : `int_(0)^(1)(e^(sqrt(x)))/(sqrt(x))dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int_{0}^{1} \frac{e^{\sqrt{x}}}{\sqrt{x}} \, dx, \] we will use the substitution method. Let's follow the steps: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7a|14 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7b|26 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int(e^(sqrt(x)))/(sqrt(x))dx

=int(e^(sqrt(x)))/(sqrt(x))dx

Evaluate : int_(0) ^(1)(e^(x))/(sqrt(e^x-1))dx

Evaluate: int_(0)^(1)(e^(x))/(sqrt(e^(x)-1))dx

Evaluate :int_(0)^(1)sqrt(x(1-x))dx

int_(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx

Evaluate : int_(1)^(4)(dx)/(sqrt(x))

Evaluate : (i) int_(0)^(1)(3sqrt(x^(2))-4sqrt(x))/(sqrt(x))dx , (ii) int_(0)^(1)x cos(tan^(1)x)dx

Evaluate :int_(0)^(1)(1)/(sqrt(2x+3))dx

Evaluate : int_(0)^(a) (sqrt(a)-sqrt(x))^(2)dx .