What is the solution for (dy)/(dx)=(x-10)^2 ?

The solution for (dy)/(dx)=(x-10)^2 is y=(x^3)/3-10x^2+100x+c_{1}

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(dy)/(dx)=(x-10)^2

\frac{d y}{d x} = (x - 10)^{2}

y = \frac{x ^{3}}{3} - 10 x^{2} + 100 x + c_{1}

Solution steps

\frac{d y}{d x} = (x - 10)^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = (x - 10)^{2}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int (x - 10)^{2} d x

\int (x - 10)^{2} d x = \frac{x ^{3}}{3} - 10 x^{2} + 100 x + c_{1}

y = \frac{x ^{3}}{3} - 10 x^{2} + 100 x + c_{1}

e^{x} + 1

f (x) = x^{2} - 1, (5, 24)

\int_{0}^{\frac{π}{2}} (cos^{2} (x)) d x

2 x^{2} + 8 x + 9

x \to 2 + lim (\frac{x - 1}{x - 2})

What is the solution for (dy)/(dx)=(x-10)^2 ?
The solution for (dy)/(dx)=(x-10)^2 is y=(x^3)/3-10x^2+100x+c_{1}