Home
Class 12
MATHS
Integrate the functions e^(2x+3)...

Integrate the functions `e^(2x+3)`

Text Solution

Verified by Experts

Given `e ^(2x+3)`
Put `2x+3=t`
∴`2dx=dt`
=`e^(2x+3)dx`
=`1/2​∫e^tdt`
=`1/2​(e^t)+C`
=`1/2e^(2x+3)+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.8|6 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions (e^(2x)-1)/(e^(2x)+1)

Integrate the functions e^(2x)sin x

Integrate the functions (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

Integrate the functions x^(2)e^(x)

Integrate the functions x sec^(2)x

Integrate the functions x sin3x

Integrate the functions x log2x

Integrate the functions (e^(x))/((1+e^(x))(2+e^(x)))

Integrate the functions ((x-3)e^(x))/((x-1)^(3))

Integrate the functions e^(3log x)(x^(4)+1)^(-1)