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Popular >

integral of 5x^2+9

Solution

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

Solution

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

Solution steps

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

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 9 d x = 9 x

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

Add a constant to the solution

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

Popular Examples

tv^'(1-t^2)+2v=0

t v^{^{'}} (1 - t^{2}) + 2 v = 0

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

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

taylor (1+x)^n taylor

(1 + x)^{n}

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f (x) = - \frac{12}{( x - 6 ) ^{2}}

integral of (5x^3+3x)/(x-1)

\int \frac{5 x ^{3} + 3 x}{x - 1} d x

Frequently Asked Questions (FAQ)

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