What is the integral from 1 to 100 of 1/(x^3) ?

The integral from 1 to 100 of 1/(x^3) is 9999/20000

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integral from 1 to 100 of 1/(x^3)

\int_{1}^{100} \frac{1}{x ^{3}} d x

\frac{9999}{20000}

Decimal

0.49995

Solution steps

\int_{1}^{100} \frac{1}{x ^{3}} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{100}

= [- \frac{1}{2 x ^{2}}]_{1}^{100}

Compute the boundaries:

\frac{9999}{20000}

= \frac{9999}{20000}

\int sin (x) cos^{3} (x) d x

y^{^{'}} + 6 (tan (6 x)) y = - 2 cos (6 x)

\frac{d y}{d x} = \frac{x}{sin ( y )} - \frac{9}{sin ( y )}

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

3 cos (2 x)

What is the integral from 1 to 100 of 1/(x^3) ?
The integral from 1 to 100 of 1/(x^3) is 9999/20000