What is the integral from 0 to 15 of 25-(8x)/(15) ?

The integral from 0 to 15 of 25-(8x)/(15) is 315

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integral from 0 to 15 of 25-(8x)/(15)

\int_{0}^{15} 25 - \frac{8 x}{15} d x

315

Solution steps

\int_{0}^{15} 25 - \frac{8 x}{15} 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}^{15} 25 d x - \int_{0}^{15} \frac{8 x}{15} d x

\int_{0}^{15} 25 d x = 375

\int_{0}^{15} \frac{8 x}{15} d x = 60

= 375 - 60

Simplify

= 315

y = x^{2} - 5 x - 2, (3, - 8)

\int \frac{4 x ^{3} + 3 x ^{2} + 2 x + 1}{x ^{2}} d x

\frac{d y}{d x} + x (y^{2} + y) = 0, y (2) = 1

2 e^{- 3 t}

\frac{11}{4} x^{2} d y - 14 d x = 0

What is the integral from 0 to 15 of 25-(8x)/(15) ?
The integral from 0 to 15 of 25-(8x)/(15) is 315