What is the integral of (300+x)^2 ?

The integral of (300+x)^2 is 90000x+300x^2+(x^3)/3+C

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integral of (300+x)^2

\int (300 + x)^{2} d x

90000 x + 300 x^{2} + \frac{x ^{3}}{3} + C

Solution steps

\int (300 + x)^{2} d x

Expand

(300 + x)^{2} : 90000 + 600 x + x^{2}

= \int 90000 + 600 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 90000 d x + \int 600 x d x + \int x^{2} d x

\int 90000 d x = 90000 x

\int 600 x d x = 300 x^{2}

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

= 90000 x + 300 x^{2} + \frac{x ^{3}}{3}

Add a constant to the solution

= 90000 x + 300 x^{2} + \frac{x ^{3}}{3} + C

(ln (x))^{2}

\int \frac{1 + x ^{3}}{x ^{2}} d x

\int π tan (π x) d x

\int \frac{( 3 ln ( x ) - 1 ) ^{4}}{x} d x

\int (\frac{1}{e ^{x} + 1}) d x

What is the integral of (300+x)^2 ?
The integral of (300+x)^2 is 90000x+300x^2+(x^3)/3+C