What is the integral from 50 to 100 of 7x ?

The integral from 50 to 100 of 7x is 26250

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integral from 50 to 100 of 7x

\int_{50}^{100} 7 x d x

26250

Solution steps

\int_{50}^{100} 7 x d x

Take the constant out:

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

= 7 \cdot \int_{50}^{100} x d x

Apply the Power Rule

= 7 [\frac{x ^{2}}{2}]_{50}^{100}

Compute the boundaries:

3750

= 7 \cdot 3750

Simplify

= 26250

What is the integral from 50 to 100 of 7x ?
The integral from 50 to 100 of 7x is 26250