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Popular Calculus >

integral of e^3x+2

Solution

integral

e^{3} x + 2

Solution

\frac{e ^{3} x ^{2}}{2} + 2 x + C

Solution steps

\int e^{3} x + 2 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int e^{3} x d x + \int 2 d x

\int e^{3} x d x = \frac{e ^{3} x ^{2}}{2}

\int 2 d x = 2 x

= \frac{e ^{3} x ^{2}}{2} + 2 x

Add a constant to the solution

= \frac{e ^{3} x ^{2}}{2} + 2 x + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of e^3x+2 ?
The integral of e^3x+2 is (e^3x^2)/2+2x+C