What is the integral from 1 to 10 of 5/(x^3) ?

The integral from 1 to 10 of 5/(x^3) is 99/40

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 10 of 5/(x^3)

\int_{1}^{10} \frac{5}{x ^{3}} d x

\frac{99}{40}

Decimal Notation

2.475

Solution steps

\int_{1}^{10} \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}^{10} \frac{1}{x ^{3}} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{10}

= 5 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Compute the boundaries:

\frac{99}{200}

= 5 \cdot \frac{99}{200}

Simplify

= \frac{99}{40}

\int \frac{6 x ^{2} + 7 x + 6}{( x ^{2} + 1 ) ^{2}} d x

(- 2, 10), (4, - 2)

\frac{d y}{d x} = x^{2} - 1

\frac{d}{d x} (ln (2 x) - \frac{1}{4} x)

\frac{\partial}{\partial x} (x \cdot sin (y + 2 x))

What is the integral from 1 to 10 of 5/(x^3) ?
The integral from 1 to 10 of 5/(x^3) is 99/40