What is the integral from 1 to 2 of 2x ?

The integral from 1 to 2 of 2x is 3

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integral from 1 to 2 of 2x

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

3

Solution steps

\int_{1}^{2} 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_{1}^{2} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{2}

= 2 [\frac{x ^{2}}{2}]_{1}^{2}

Compute the boundaries:

\frac{3}{2}

= 2 \cdot \frac{3}{2}

Simplify

= 3

\frac{d}{d t} (s t^{2})

- 4 x^{2} - 3 x + 2, at x = - 1

\int \frac{1}{5 x ^{4}} d x

\frac{d}{d x} (\frac{sin ( x )}{1 + cos ( x )})

\int 22 x d x