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

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

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integral of 7x^4-5x^3+5x^2+C

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

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

Solution steps

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

\int 7 x^{4} d x = \frac{7 x ^{5}}{5}

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

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

\int C d x = C x

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

Add a constant to the solution

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

\frac{7}{x}, x = 1, x = 41

x \to - 7 - lim (x^{2} + 7)

\frac{d y}{d x} = 2 + 2 y + x + x y

f (x) = c x^{- 2}

\frac{\partial}{\partial y} (x y + x^{2})

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