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Popular Calculus >

integral of 2e^x-6x

Solution

\int 2 e^{x} - 6 x d x

Solution

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

Solution steps

\int 2 e^{x} - 6 x 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^{x} d x - \int 6 x d x

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

\int 6 x d x = 3 x^{2}

= 2 e^{x} - 3 x^{2}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2e^x-6x ?
The integral of 2e^x-6x is 2e^x-3x^2+C