What is the integral from 0 to 300 of 5/3 x ?

The integral from 0 to 300 of 5/3 x is 75000

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integral from 0 to 300 of 5/3 x

\int_{0}^{300} \frac{5}{3} x d x

75000

Solution steps

\int_{0}^{300} \frac{5}{3} x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{5}{3} \cdot \int_{0}^{300} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{300}

= \frac{5}{3} [\frac{x ^{2}}{2}]_{0}^{300}

Compute the boundaries:

45000

= \frac{5}{3} \cdot 45000

Simplify

= 75000

\int_{2 x}^{2} (x - y) d y

\int_{0}^{3} x^{2} - x - 3 d x

\int_{x}^{1} \frac{1}{x} d x

\int_{0}^{2} 8 \cdot 2^{- x} - 2 d x

\int_{- 1}^{1} (∣ x ∣ - \frac{1}{2})^{2} d x

What is the integral from 0 to 300 of 5/3 x ?
The integral from 0 to 300 of 5/3 x is 75000