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Popular >

integral of (e^x+3)

Solution

\int (e^{x} + 3) d x

Solution

e^{x} + 3 x + C

Solution steps

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

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

\int 3 d x = 3 x

= e^{x} + 3 x

Add a constant to the solution

= e^{x} + 3 x + C

Graph

Popular Examples

integral of 1/(x^3-x^2+x-1)

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

integral of (4x+3)/(x^2-6x+13)

\int \frac{4 x + 3}{x ^{2} - 6 x + 13} d x

integral of 5x^4(2x^5-3)^8

\int 5 x^{4} (2 x^{5} - 3)^{8} d x

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

\int \frac{x ^{2} - 3 x}{x} d x

integral of 36z^2(216z^3+1)^{12}

\int 36 z^{2} (216 z^{3} + 1)^{12} d z

Frequently Asked Questions (FAQ)

What is the integral of (e^x+3) ?
The integral of (e^x+3) is e^x+3x+C