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Popular Calculus >

integral of e^4x-3

Solution

integral

e^{4} x - 3

Solution

\frac{e ^{4} x ^{2}}{2} - 3 x + C

Solution steps

\int e^{4} x - 3 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^{4} x d x - \int 3 d x

\int e^{4} x d x = \frac{e ^{4} x ^{2}}{2}

\int 3 d x = 3 x

= \frac{e ^{4} x ^{2}}{2} - 3 x

Add a constant to the solution

= \frac{e ^{4} x ^{2}}{2} - 3 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of e^4x-3 ?
The integral of e^4x-3 is (e^4x^2)/2-3x+C