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Popular >

integral of 7x^{-2}

Solution

\int 7 x^{- 2} d x

Solution

- \frac{7}{x} + C

Solution steps

\int 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 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

Graph

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\int \frac{y}{3} arcsin (y^{2}) d y

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\int \frac{2 ^{x} 3 ^{x + 1}}{5 ^{x + 2}} d x

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\int \frac{1}{e x} d x

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

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

integral of (5x^2)/(4x^3-3)

\int \frac{5 x ^{2}}{4 x ^{3} - 3} d x

Frequently Asked Questions (FAQ)

What is the integral of 7x^{-2} ?
The integral of 7x^{-2} is -7/x+C