What is the integral of 28x^3-15x^2+10x ?

The integral of 28x^3-15x^2+10x is 7x^4-5x^3+5x^2+C

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integral of 28x^3-15x^2+10x

\int 28 x^{3} - 15 x^{2} + 10 x d x

7 x^{4} - 5 x^{3} + 5 x^{2} + C

Solution steps

\int 28 x^{3} - 15 x^{2} + 10 x 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 28 x^{3} d x - \int 15 x^{2} d x + \int 10 x d x

\int 28 x^{3} d x = 7 x^{4}

\int 15 x^{2} d x = 5 x^{3}

\int 10 x d x = 5 x^{2}

= 7 x^{4} - 5 x^{3} + 5 x^{2}

Add a constant to the solution

= 7 x^{4} - 5 x^{3} + 5 x^{2} + C

\frac{5}{2 ( s - e ) ^{2} + 50}

\frac{25}{s ^{3} ( s ^{2} + 4 s + 5 )}

\int \frac{3 x ^{2}}{5 x ^{3} - 1} d x

\int 3 x^{2} - x^{3} d x

y^{^{'}} = (4 x + y)^{2}

What is the integral of 28x^3-15x^2+10x ?
The integral of 28x^3-15x^2+10x is 7x^4-5x^3+5x^2+C