What is the integral of 8x^4-5x^3+4x^2+C ?

The integral of 8x^4-5x^3+4x^2+C is (8x^5)/5-(5x^4)/4+(4x^3)/3+Cx+C

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integral of 8x^4-5x^3+4x^2+C

\int 8 x^{4} - 5 x^{3} + 4 x^{2} + C d x

\frac{8 x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + C x + C

Solution steps

\int 8 x^{4} - 5 x^{3} + 4 x^{2} + C 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 8 x^{4} d x - \int 5 x^{3} d x + \int 4 x^{2} d x + \int C d x

\int 8 x^{4} d x = \frac{8 x ^{5}}{5}

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int C d x = C x

= \frac{8 x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + C x

Add a constant to the solution

= \frac{8 x ^{5}}{5} - \frac{5 x ^{4}}{4} + \frac{4 x ^{3}}{3} + C x + C

\int_{0}^{1} \frac{2 x}{( x ^{2} + 2 ) ^{2}} d x

\frac{\partial}{\partial y} (8 e^{x} ln (y))

\frac{\partial}{\partial x} (7 e^{5 x})

f (x) = e^{x^{2} - 4}

What is the integral of 8x^4-5x^3+4x^2+C ?
The integral of 8x^4-5x^3+4x^2+C is (8x^5)/5-(5x^4)/4+(4x^3)/3+Cx+C