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Popular >

integral of 2x+6e^x

Solution

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

Solution

x^{2} + 6 e^{x} + C

Solution steps

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

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

\int 6 e^{x} d x = 6 e^{x}

= x^{2} + 6 e^{x}

Add a constant to the solution

= x^{2} + 6 e^{x} + C

Popular Examples

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\frac{d}{d x} (arcsin (\frac{x}{4}))

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\frac{d}{d x} (tan^{4} (3 x))

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\int y^{3} e^{- y} d y

Frequently Asked Questions (FAQ)

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