What is the integral from 0.3 to 0.6 of 3/2 sqrt(x) ?

The integral from 0.3 to 0.6 of 3/2 sqrt(x) is 0.30044…

Popular >

integral from 0.3 to 0.6 of 3/2 sqrt(x)

\int_{0.3}^{0.6} \frac{3}{2} x d x

0.30044 \dots

Solution steps

\int_{0.3}^{0.6} \frac{3}{2} x d x

Take the constant out:

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

= \frac{3}{2} \cdot \int_{0.3}^{0.6} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0.3}^{0.6}

= \frac{3}{2} [\frac{2}{3} x^{\frac{3}{2}}]_{0.3}^{0.6}

Simplify

= 1.5 [0.66666 \dots x^{\frac{3}{2}}]_{0.3}^{0.6}

Compute the boundaries:

0.20029 \dots

= 1.5 \cdot 0.20029 \dots

Simplify

= 0.30044 \dots

\int_{0}^{1} 2 x cos (nπ x) d x

\int_{0}^{1} (x - 0.5)^{2} d x

\int_{1}^{e^{3}} \frac{6 ln ( x )}{x} d x

\int_{0}^{1} (3 x^{2} - 2 x + 1) d x

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

What is the integral from 0.3 to 0.6 of 3/2 sqrt(x) ?
The integral from 0.3 to 0.6 of 3/2 sqrt(x) is 0.30044…