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Popular >

integral of 1/((8-x)^2)

Solution

\int \frac{1}{( 8 - x ) ^{2}} d x

Solution

\frac{1}{8 - x} + C

Solution steps

\int \frac{1}{( 8 - x ) ^{2}} d x

Apply u-substitution

: \int - \frac{1}{u ^{2}} d u

= \int - \frac{1}{u ^{2}} d u

Take the constant out:

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

= - \int \frac{1}{u ^{2}} d u

Apply the Power Rule

: - \frac{1}{u}

= - (- \frac{1}{u})

Substitute back

u = 8 - x

= - (- \frac{1}{8 - x})

Simplify

= \frac{1}{8 - x}

Add a constant to the solution

= \frac{1}{8 - x} + C

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x \to - \infty lim (x, 2)

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integral of (3x)/(4-x)

\int \frac{3 x}{4 - x} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/((8-x)^2) ?
The integral of 1/((8-x)^2) is 1/(8-x)+C