What is the integral from-2 to 3 of 2x ?

The integral from-2 to 3 of 2x is 5

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integral from-2 to 3 of 2x

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

5

Solution steps

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{- 2}^{3}

= 2 [\frac{x ^{2}}{2}]_{- 2}^{3}

Compute the boundaries:

\frac{5}{2}

= 2 \cdot \frac{5}{2}

Simplify

= 5

\frac{d}{d x} (\frac{x + 1}{x - 1})

x \to 0 lim (cos (x))

\int \frac{x ^{2} - 49}{x ^{4}} d x

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

\frac{d}{d x} (\frac{60}{0.01 x ^{2} + 1})