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Popular >

integral of e^{3x}-1

Solution

\int e^{3 x} - 1 d x

Solution

\frac{1}{3} e^{3 x} - x + C

Solution steps

\int e^{3 x} - 1 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 1 d x

\int e^{3 x} d x = \frac{1}{3} e^{3 x}

\int 1 d x = x

= \frac{1}{3} e^{3 x} - x

Add a constant to the solution

= \frac{1}{3} e^{3 x} - x + C

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Frequently Asked Questions (FAQ)

What is the integral of e^{3x}-1 ?
The integral of e^{3x}-1 is 1/3 e^{3x}-x+C