en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-7/(x^2)

Solution

\int - \frac{7}{x ^{2}} d x

Solution

\frac{7}{x} + C

Solution steps

\int - \frac{7}{x ^{2}} d x

Take the constant out:

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

= - 7 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= - 7 (- \frac{1}{x})

Simplify

- 7 (- \frac{1}{x}) : \frac{7}{x}

= \frac{7}{x}

Add a constant to the solution

= \frac{7}{x} + C

Popular Examples

integral of (x^2)/(3(1+x^2))

\int \frac{x ^{2}}{3 ( 1 + x ^{2} )} d x

integral of xsqrt(7x^2+5)

\int x 7 x^{2} + 5 d x

integral of ln(2)x^2

\int ln (2) x^{2} d x

integral of (x^3+1)/(x^3-3x+2)

\int \frac{x ^{3} + 1}{x ^{3} - 3 x + 2} d x

integral of 1/(sin^2(x)+5cos^2(x))

\int \frac{1}{sin ^{2} ( x ) + 5 cos ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of-7/(x^2) ?
The integral of-7/(x^2) is 7/x+C