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Popular >

integral of 8+2x-x^2

Solution

\int 8 + 2 x - x^{2} d x

Solution

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

Solution steps

\int 8 + 2 x - 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 8 d x + \int 2 x d x - \int x^{2} d x

\int 8 d x = 8 x

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

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

= 8 x + x^{2} - \frac{x ^{3}}{3}

Add a constant to the solution

= 8 x + x^{2} - \frac{x ^{3}}{3} + C

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\int 3 x^{2} - 60 x + 400 d x

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\int x^{3} - 4 x^{2} + x + 6 d x

integral of x^{1/2}*ln(x)

\int x^{\frac{1}{2}} \cdot ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral of 8+2x-x^2 ?
The integral of 8+2x-x^2 is 8x+x^2-(x^3)/3+C