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Popular >

integral of 3/5-7/x

Solution

\int \frac{3}{5} - \frac{7}{x} d x

Solution

\frac{3}{5} x - 7 ln ∣ x ∣ + C

Solution steps

\int \frac{3}{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{3}{5} d x - \int \frac{7}{x} d x

\int \frac{3}{5} d x = \frac{3}{5} x

\int \frac{7}{x} d x = 7 ln ∣ x ∣

= \frac{3}{5} x - 7 ln ∣ x ∣

Add a constant to the solution

= \frac{3}{5} x - 7 ln ∣ x ∣ + C

Popular Examples

integral of 1/(x^{1.00001)}

\int \frac{1}{x ^{1.00001}} d x

limit as x approaches 0 of x/4

x \to 0 lim (\frac{x}{4})

\frac{d y}{d x} = - 3 x y

derivative of (x^2-2x+1(1-3x^{-5}))

\frac{d}{d x} ((x^{2} - 2 x + 1) (1 - 3 x^{- 5}))

derivative of (x-2(x+1)(x+2))

\frac{d}{d x} ((x - 2) (x + 1) (x + 2))

Frequently Asked Questions (FAQ)

What is the integral of 3/5-7/x ?
The integral of 3/5-7/x is 3/5 x-7ln|x|+C