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Popular >

integral of 4+5/x

Solution

\int 4 + \frac{5}{x} d x

Solution

4 x + 5 ln ∣ x ∣ + C

Solution steps

\int 4 + \frac{5}{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 4 d x + \int \frac{5}{x} d x

\int 4 d x = 4 x

\int \frac{5}{x} d x = 5 ln ∣ x ∣

= 4 x + 5 ln ∣ x ∣

Add a constant to the solution

= 4 x + 5 ln ∣ x ∣ + C

Popular Examples

integral of (5-e^x)/(e^{3x)}

\int \frac{5 - e ^{x}}{e ^{3 x}} d x

integral of sin(x)2

\int sin (x) 2 d x

integral of (e^{2x})/(1+e^{4x)}

\int \frac{e ^{2 x}}{1 + e ^{4 x}} d x

integral of x^3(x+1)^5

\int x^{3} (x + 1)^{5} d x

area y=x^2-9,y=7 area

y = x^{2} - 9, y = 7

Frequently Asked Questions (FAQ)

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