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

The integral from 2 to 4 of 4x is 24

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integral from 2 to 4 of 4x

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

24

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Compute the boundaries:

6

= 4 \cdot 6

Simplify

= 24

x \to \frac{5 π}{2} + lim (sec (x))

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

\frac{\partial}{\partial y} (x ln (y))

f (x) = - 8