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Popular >

integral of 1/5-7/x

Solution

\int \frac{1}{5} - \frac{7}{x} d x

Solution

\frac{1}{5} x - 7 ln ∣ x ∣ + C

Solution steps

\int \frac{1}{5} - \frac{7}{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{1}{5} d x - \int \frac{7}{x} d x

\int \frac{1}{5} d x = \frac{1}{5} x

\int \frac{7}{x} d x = 7 ln ∣ x ∣

= \frac{1}{5} x - 7 ln ∣ x ∣

Add a constant to the solution

= \frac{1}{5} x - 7 ln ∣ x ∣ + C

Graph

Popular Examples

integral from pi/2 to infinity of 7/x

\int_{\frac{π}{2}}^{\infty} \frac{7}{x} d x

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

derivative of sqrt(3)cos(x)

\frac{d}{d x} (3 cos (x))

inverse oflaplace e^{-8s}inverse laplace

e^{- 8 s}

implicit ln(xy)=e^{(x+y)}implicit derivative

ln (x y) = e^{(x + y)}

Frequently Asked Questions (FAQ)

What is the integral of 1/5-7/x ?
The integral of 1/5-7/x is 1/5 x-7ln|x|+C