What is the integral from 1 to 4 of sqrt(x) ?

The integral from 1 to 4 of sqrt(x) is 14/3

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integral from 1 to 4 of sqrt(x)

\int_{1}^{4} x d x

\frac{14}{3}

Decimal Notation

4.66666 \dots

Solution steps

\int_{1}^{4} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

= [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= \frac{14}{3}

\int_{0}^{\frac{3 π}{2}} ∣ sin (x) ∣ d x

\int \frac{( ln ( z ) ) ^{2}}{z} d z

\int sec (5 x - 3) tan (5 x - 3) d x

f (x) = x^{3} (8 x^{2} + 2 x - 3)^{2}

What is the integral from 1 to 4 of sqrt(x) ?
The integral from 1 to 4 of sqrt(x) is 14/3