What is the integral of 3x^2-5x-7 ?

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

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integral of 3x^2-5x-7

\int 3 x^{2} - 5 x - 7 d x

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

Solution steps

\int 3 x^{2} - 5 x - 7 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 3 x^{2} d x - \int 5 x d x - \int 7 d x

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

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

\int 7 d x = 7 x

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

Add a constant to the solution

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

\frac{d}{d x} (sin (n arcsin (x)))

- 2 x

y^{^{'}} = 2 y^{2} + x y^{2}

11 y^{^{''}} + 13 y^{^{'}} + \frac{13}{44} y = 0, y (0) = 2, y^{^{'}} (0) = 1

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