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Popular >

integral of e^x-3x

Solution

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

Solution

e^{x} - \frac{3 x ^{2}}{2} + C

Solution steps

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

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

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

= e^{x} - \frac{3 x ^{2}}{2}

Add a constant to the solution

= e^{x} - \frac{3 x ^{2}}{2} + C

Popular Examples

integral of 1/(sqrt(25x^2+36))

\int \frac{1}{25 x ^{2} + 36} d x

integral of sec^2(5x)tan^3(5x)

\int sec^{2} (5 x) tan^{3} (5 x) d x

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\int (1 + 4 x y) d x

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\int (85 - x) d x

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

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

Frequently Asked Questions (FAQ)

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