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Popular >

integral of x^2+3x+C

Solution

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

Solution

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

Solution steps

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

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

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

\int C d x = C x

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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