What is the integral from 1 to 2 of 5/(x^3) ?

The integral from 1 to 2 of 5/(x^3) is 15/8

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integral from 1 to 2 of 5/(x^3)

\int_{1}^{2} \frac{5}{x ^{3}} d x

\frac{15}{8}

Decimal

1.875

Solution steps

\int_{1}^{2} \frac{5}{x ^{3}} d x

Take the constant out:

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

= 5 \cdot \int_{1}^{2} \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 5 [- \frac{1}{2 x ^{2}}]_{1}^{2}

Compute the boundaries:

\frac{3}{8}

= 5 \cdot \frac{3}{8}

Simplify

= \frac{15}{8}

\int_{1}^{8} x e^{x^{2}} d x

\int_{1}^{\infty} \frac{2}{x ^{2} + 3} d x

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

\int_{0}^{1} e^{x} + x^{e} d x

\int_{0}^{2} \frac{2}{x ^{3}} d x

What is the integral from 1 to 2 of 5/(x^3) ?
The integral from 1 to 2 of 5/(x^3) is 15/8