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Popular >

integral of 2e^x

Solution

integral

2 e^{x}

Solution

2 e^{x} + C

Solution steps

\int 2 e^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Use the common integral:

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

= 2 e^{x}

Add a constant to the solution

= 2 e^{x} + C

Popular Examples

integral of (4x)/((x-3)^2)

\int \frac{4 x}{( x - 3 ) ^{2}} d x

integral of sqrt(x/(4-x))

\int \frac{x}{4 - x} d x

integral of 1/(xe^{2x)}

\int \frac{1}{x e ^{2 x}} d x

integral of (x^3)/(sqrt(36x^2+1296))

\int \frac{x ^{3}}{36 x ^{2} + 1296} d x

integral of (sqrt(x^2+9))/(x^3)

\int \frac{x ^{2} + 9}{x ^{3}} d x

Frequently Asked Questions (FAQ)

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