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Popular Calculus >

integral of y=2e^4x+3

Solution

integral

y = 2 e^{4} x + 3

Solution

e^{4} x^{2} + 3 x + C

Solution steps

\int 2 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 2 e^{4} x d x + \int 3 d x

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

\int 3 d x = 3 x

= e^{4} x^{2} + 3 x

Add a constant to the solution

= e^{4} x^{2} + 3 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of y=2e^4x+3 ?
The integral of y=2e^4x+3 is e^4x^2+3x+C