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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 20x^3

\int 20 x^{3} d x

(dQ)/(dt)=0.03(1-Q)^{2/3}

\frac{d Q}{d t} = 0.03 (1 - Q)^{\frac{2}{3}}

sum from n=1 to infinity}(e^{npi of)/(pi^{ne)}

n = 1 \sum \infty \frac{e ^{nπ}}{π ^{n e}}

y^{''}-3y^'-54y=0

y^{^{''}} - 3 y^{^{'}} - 54 y = 0

derivative of x^{8cos(x})

\frac{d}{d x} (x^{8 c o s (x)})

Frequently Asked Questions (FAQ)

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