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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

Popular Examples

integral of 4e^{-2t}+4

\int 4 e^{- 2 t} + 4 d t

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

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

integral of 5/(sqrt(k-x^2))

\int \frac{5}{k - x ^{2}} d x

integral of 30(10-x)e^{-x/(30)}

\int 30 (10 - x) e^{- \frac{x}{30}} d x

integral of 8cot(x/2)

\int 8 cot (\frac{x}{2}) 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