Home
Class 12
MATHS
Evaluate: intsin(e^x)d(e^x)...

Evaluate: `intsin(e^x)d(e^x)`

Text Solution

Verified by Experts

`I=int sin(e^(x))d(e^(x))`
Let `e^(x)=t`
` :. I=int sin(e^(x))d(e^(x))`
`=int sint dt= -cos t +C = -cos(e^(x))+c`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise EXAMPLE|18 Videos

  • INDEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 7.1|9 Videos

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise COMPREHENSION TYPE|2 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE ENGLISH|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate: intsin^2x\ dx

Evaluate: intsin^4x\ dx

Evaluate: intsin^4x\ dx

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

Evaluate: int(e^x)/(e^(2x)+6e^x+5)dx

Evaluate: int(e^x)/(e^(2x)+6e^x+5)dx

Evaluate: int(e^x)/(e^(2x)+5e^x+6)dx

Evaluate: int(e^x)/(e^(2x)+5e^x+6)dx

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

Evaluate: intsin3x\ dx