Home
Class 12
MATHS
Evaluate int(5e^(x))/((e^(x)+1)(e^(2x)+9...

Evaluate `int(5e^(x))/((e^(x)+1)(e^(2x)+9))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2) log (e^(x) + 1)- (1)/(4) log (e^(2x) +9) + (1)/(6) tan^(-1) ((e^(x))/(3))+c`
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise DEFINITE INTEGRATION|59 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise APPLICATION OF DEFINITE INTEGRATION |33 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise APPLICATIONS OF DERIVATIVE |44 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

int(e^(x))/((e^(x)-1)(e^(x)+2))dx=

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

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

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

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

int(e^(x))/((1+e^(x))(2+e^(x)))dx

Evaluate; int(e^(x)+1)/(e^(x)-1)dx

Evaluate: int(e^(3x))/(e^(3x)+1)dx

Evaluate :int(e^(x))/(sqrt(5-4e^(x)-e^(2x)))dx

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