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Popular >

integral of 3/5-4/x

Solution

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

Solution

\frac{3}{5} x - 4 ln ∣ x ∣ + C

Solution steps

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

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

\int \frac{4}{x} d x = 4 ln ∣ x ∣

= \frac{3}{5} x - 4 ln ∣ x ∣

Add a constant to the solution

= \frac{3}{5} x - 4 ln ∣ x ∣ + C

Popular Examples

sum from n=1 to infinity of n(sin(1/n))

n = 1 \sum \infty n (sin (\frac{1}{n}))

integral of (4t^2-3)^2

\int (4 t^{2} - 3)^{2} d t

area f(x)=x^2,[1,5]area

f (x) = x^{2}, [1, 5]

derivative of (8x^2+2)/(x^2)derivative of

\frac{8 x ^{2} + 2}{x ^{2}}

derivative of (x^2-4x+5)sqrt(25-x^2)derivative of

(x^{2} - 4 x + 5) 25 - x^{2}

Frequently Asked Questions (FAQ)

What is the integral of 3/5-4/x ?
The integral of 3/5-4/x is 3/5 x-4ln|x|+C