Home
Class 12
MATHS
Evaluate: inte^x(1+tanx+tan^2x)dx...

Evaluate: `inte^x(1+tanx+tan^2x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`e^(x)tanx+C`

`int e^(x)(1+tanx+tan^(2)x)dx=int e^(x)(tanx+sec^(2)x)dx`
`=e^(x)tanx+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise (Single)|77 Videos
  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise (Multiple)|17 Videos
  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 7.8|7 Videos
  • HYPERBOLA

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos
  • INEQUALITIES AND MODULUS

    CENGAGE|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(tanx)/(a+btan^2x)dx

Evaluate: int(tanx-x)tan^2x dx

Evaluate: int(1-tanx)/(1+tanx)dx

Evaluate: int (cot^2 x + tan^2 x)dx

Evaluate int tanx tan 2x tan 3x dx .

Evaluate: int tan^(-1)(secx+tanx)dx ,-pi/2

Evaluate: int (cot^2 x + tan^2 x) dx

Evaluate int 1/(1-tanx)dx

Evaluate: intcos2x" ln "(1+tanx)dx

Evaluate inte^(x)secx(1+tanx)dx .