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{7}{4} x^{4} - \frac{6}{5} x^{3}

x \to 0 lim (\frac{e ^{x} - 1}{17 x})

f (x) = 3^{x} - 5 e^{x}

\frac{d}{d x} (x^{3} - 7)

\frac{1}{1 + x}