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Popular >

integral of e^x+3x^2

Solution

\int e^{x} + 3 x^{2} d x

Solution

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

Solution steps

\int e^{x} + 3 x^{2} 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 x^{2} d x

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

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

= e^{x} + x^{3}

Add a constant to the solution

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

Graph

Popular Examples

integral of 2/(u^2-1)

\int \frac{2}{u ^{2} - 1} d u

integral of (27x^2)/(sqrt(4-9x^2))

\int \frac{27 x ^{2}}{4 - 9 x ^{2}} d x

integral of xsqrt(x^3)

\int x x^{3} d x

integral of (sqrt(2x))/(2x-4)

\int \frac{2 x}{2 x - 4} d x

integral of (2x+3)/(x^2+5x+6)

\int \frac{2 x + 3}{x ^{2} + 5 x + 6} d x

Frequently Asked Questions (FAQ)

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