What is the integral from 2 to 4 of (2x) ?

The integral from 2 to 4 of (2x) is 12

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integral from 2 to 4 of (2x)

\int_{2}^{4} (2 x) d x

12

Solution steps

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

Take the constant out:

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

= 2 \cdot \int_{2}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{4}

= 2 [\frac{x ^{2}}{2}]_{2}^{4}

Compute the boundaries:

6

= 2 \cdot 6

Simplify

= 12

\int_{- 2}^{1} (2 x^{3} + 4 x^{2} - x + 3) d x

\int_{- 2}^{1} \frac{1}{x ^{\frac{1}{2}}} d x

\int_{1}^{8} \frac{1}{t} d t

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

\int_{1}^{3} - \frac{π}{2} \frac{3}{3 x ^{4}} d x

What is the integral from 2 to 4 of (2x) ?
The integral from 2 to 4 of (2x) is 12