What is the integral from 0 to 300 of (1000-5x-140) ?

The integral from 0 to 300 of (1000-5x-140) is 33000

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integral from 0 to 300 of (1000-5x-140)

\int_{0}^{300} (1000 - 5 x - 140) d x

33000

Solution steps

\int_{0}^{300} 1000 - 5 x - 140 d x

Simplify

= \int_{0}^{300} - 5 x + 860 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}^{300} 5 x d x + \int_{0}^{300} 860 d x

\int_{0}^{300} 5 x d x = 225000

\int_{0}^{300} 860 d x = 258000

= - 225000 + 258000

Simplify

= 33000

\int_{0}^{2} x 1 + x d x

\int_{0}^{\frac{π}{2}} \frac{1}{2}

\int_{0}^{1} \frac{x + 1}{x ^{2} + 2 x + 2} d x

\int_{0}^{1} 2 e^{- t} d t

\int_{- 1}^{7} \frac{x ^{2}}{x ^{3} + 1} d x

What is the integral from 0 to 300 of (1000-5x-140) ?
The integral from 0 to 300 of (1000-5x-140) is 33000