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Popular >

integral of x^2-9x+5

Solution

\int x^{2} - 9 x + 5 d x

Solution

\frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 5 x + C

Solution steps

\int x^{2} - 9 x + 5 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 9 x d x + \int 5 d x

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

\int 9 x d x = \frac{9 x ^{2}}{2}

\int 5 d x = 5 x

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 5 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 5 x + C

Graph

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integral of (sqrt(x))/(x^3)

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

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\int_{2}^{3} \frac{24}{3 - x} d x

derivative of f(x)= 5/(ln(x))derivative of

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derivative of (x-a^3)

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Frequently Asked Questions (FAQ)

What is the integral of x^2-9x+5 ?
The integral of x^2-9x+5 is (x^3)/3-(9x^2)/2+5x+C