What is the integral of (208)/((x+7)^2) ?

The integral of (208)/((x+7)^2) is -(208)/(x+7)+C

Popular >

integral of (208)/((x+7)^2)

\int \frac{208}{( x + 7 ) ^{2}} d x

- \frac{208}{x + 7} + C

Solution steps

\int \frac{208}{( x + 7 ) ^{2}} d x

Take the constant out:

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

= 208 \cdot \int \frac{1}{( x + 7 ) ^{2}} d x

Apply u-substitution

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

= 208 \cdot \int \frac{1}{u ^{2}} d u

Apply the Power Rule

: - \frac{1}{u}

= 208 (- \frac{1}{u})

Substitute back

u = x + 7

= 208 (- \frac{1}{x + 7})

Simplify

208 (- \frac{1}{x + 7}) : - \frac{208}{x + 7}

= - \frac{208}{x + 7}

Add a constant to the solution

= - \frac{208}{x + 7} + C

\int \frac{sin ( ln ( 17 x ) )}{x} d x

\int 6 x^{2} - \frac{3}{2 x ^{4}} d x

\int \frac{x ^{7} - 5 x}{x ^{5}} d x

\int x ln (x + 6) d x

\int e^{t a n (44 x)} sec^{2} (44 x) d x

What is the integral of (208)/((x+7)^2) ?
The integral of (208)/((x+7)^2) is -(208)/(x+7)+C