Home
Class 12
MATHS
Evaluate: inta/(b+c e^x)dx...

Evaluate: `inta/(b+c e^x)dx`

Text Solution

Verified by Experts

I=`inta/(b+c e^x)dx`
I=`int(ae^(-x))/(be^(-x)+c )dx`
Putting `be^(-x)+c =t`
`e^(-x)=dt/-b`
I=`inta/(b+c e^x)dx`
=`-a/bintdt/t`
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

int(a)/(b+c.e^(x))dx=

Evaluate: int_a^b e^-x dx

Evaluate: int_a^b sinx dx as the limit of a sum.

Evaluate: int e^(x)(f(x)+f'(x))dx=e^(x)f(x)+C

"Evaluate : "int(dx)/(e^(x)+e^(-x))

Evaluate : int (a^(x)+b^(x))/(c^(x))dx

Evaluate: int(e^(x)+1)/(e^(x)+x)dx

Evaluate: (i) int xe^(x)^^2dx (ii) int(e^(2x))/(1+e^(x))dx

Evaluate: int_e^(e^2) (dx)/(x log x)

Evaluate inta^(3x+3)\ dx, agt0