What is the integral from 0 to x of 25-100x ?

The integral from 0 to x of 25-100x is 25x-50x^2

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integral from 0 to x of 25-100x

\int_{0}^{x} 25 - 100 x d x

25 x - 50 x^{2}

Solution steps

\int_{0}^{x} 25 - 100 x 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_{0}^{x} 25 d x - \int_{0}^{x} 100 x d x

\int_{0}^{x} 25 d x = 25 x

\int_{0}^{x} 100 x d x = 50 x^{2}

= 25 x - 50 x^{2}

\int \frac{- e ^{2 x}}{2} d x

\int 3 y^{4} d y

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

\int_{2}^{4} x^{2} e^{2 x} d x

What is the integral from 0 to x of 25-100x ?
The integral from 0 to x of 25-100x is 25x-50x^2