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Popular >

integral of x^2+e^x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

tangent of y=(sqrt(x))/(8x-4),\at x=2 tangent of

y = \frac{x}{8 x - 4}, at x = 2

derivative of x^4-2 derivative of

x^{4} - 2

tangent of-x^2+9x tangent of

- x^{2} + 9 x

integral of 3e^{-x}sin(x)

\int 3 e^{- x} sin (x) d x

inverse oflaplace (2s-4)/(s^2-4s+13)inverse laplace

\frac{2 s - 4}{s ^{2} - 4 s + 13}

Frequently Asked Questions (FAQ)

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