What is the integral of 5x^2-7x+4 ?

The integral of 5x^2-7x+4 is (5x^3)/3-(7x^2)/2+4x+C

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integral of 5x^2-7x+4

\int 5 x^{2} - 7 x + 4 d x

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

Solution steps

\int 5 x^{2} - 7 x + 4 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 7 x d x + \int 4 d x

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

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 4 d x = 4 x

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

Add a constant to the solution

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

(2 x + 2)^{\frac{1}{4}}

\frac{\partial}{\partial x} (- 6 y^{6} sin (6 x))

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

f (x) = \frac{3 - x}{x + 1}

What is the integral of 5x^2-7x+4 ?
The integral of 5x^2-7x+4 is (5x^3)/3-(7x^2)/2+4x+C