What is the integral of 2+60x-5x^2 ?

The integral of 2+60x-5x^2 is 2x+30x^2-(5x^3)/3+C

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integral of 2+60x-5x^2

\int 2 + 60 x - 5 x^{2} d x

2 x + 30 x^{2} - \frac{5 x ^{3}}{3} + C

Solution steps

\int 2 + 60 x - 5 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 2 d x + \int 60 x d x - \int 5 x^{2} d x

\int 2 d x = 2 x

\int 60 x d x = 30 x^{2}

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

= 2 x + 30 x^{2} - \frac{5 x ^{3}}{3}

Add a constant to the solution

= 2 x + 30 x^{2} - \frac{5 x ^{3}}{3} + C

e^{- 5 s} \frac{1}{1 + s}

x y^{^{'}} - y = \frac{1}{2} x ln (x)

\int \frac{e ^{a x} + b}{e ^{a x} - b} d x

\int 10 x^{4} - 2 x - 6 d x

\int x x + 6 d x

What is the integral of 2+60x-5x^2 ?
The integral of 2+60x-5x^2 is 2x+30x^2-(5x^3)/3+C