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Popular >

integral of 2e^x+4

Solution

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

Solution

2 e^{x} + 4 x + C

Solution steps

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

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

\int 4 d x = 4 x

= 2 e^{x} + 4 x

Add a constant to the solution

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

Popular Examples

integral of (x^{3/2}-x^{1/3})/(6x^{1/4)}

\int \frac{x ^{\frac{3}{2}} - x ^{\frac{1}{3}}}{6 x ^{\frac{1}{4}}} d x

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\int cos (x) cos^{2} (3 x) d x

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\int e^{l n (3 c o s (x))} d x

integral of (ln(x^4))/(x^3)

\int \frac{ln ( x ^{4} )}{x ^{3}} d x

Frequently Asked Questions (FAQ)

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