What is the integral from 1 to 100 of (25)/(x^3) ?

The integral from 1 to 100 of (25)/(x^3) is 9999/800

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integral from 1 to 100 of (25)/(x^3)

\int_{1}^{100} \frac{25}{x ^{3}} d x

\frac{9999}{800}

Decimal

12.49875

Solution steps

\int_{1}^{100} \frac{25}{x ^{3}} d x

Take the constant out:

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

= 25 \cdot \int_{1}^{100} \frac{1}{x ^{3}} d x

Apply the Power Rule

= 25 [- \frac{1}{2 x ^{2}}]_{1}^{100}

Compute the boundaries:

\frac{9999}{20000}

= 25 \cdot \frac{9999}{20000}

Simplify

= \frac{9999}{800}

\int_{0}^{x^{3}} y e^{- \frac{y}{x}} d y

d er i v a t i v e y = sin (tan (9 x))

d er i v a t i v e \frac{8 x}{7 - tan ( x )}

\int \frac{1}{49 - x ^{2}} d x

y^{^{'}} = - y sin (2 x)

What is the integral from 1 to 100 of (25)/(x^3) ?
The integral from 1 to 100 of (25)/(x^3) is 9999/800