What is the integral from 2 to 3 of 20x ?

The integral from 2 to 3 of 20x is 50

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integral from 2 to 3 of 20x

\int_{2}^{3} 20 x d x

50

Solution steps

\int_{2}^{3} 20 x d x

Take the constant out:

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

= 20 \cdot \int_{2}^{3} x d x

Apply the Power Rule

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

= 20 [\frac{x ^{2}}{2}]_{2}^{3}

Compute the boundaries:

\frac{5}{2}

= 20 \cdot \frac{5}{2}

Simplify

= 50

f (x) = x^{2} - 4, g (x) = 0

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

\frac{\partial}{\partial x} (e^{2 x} cos (x^{2} y))

x \to - 5 + lim (\frac{2}{x ^{2} - 25})

\frac{d}{d x} (x^{3} (x - 4)^{2})