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Popular >

integral of 1/5-6/x

Solution

\int \frac{1}{5} - \frac{6}{x} d x

Solution

\frac{1}{5} x - 6 ln ∣ x ∣ + C

Solution steps

\int \frac{1}{5} - \frac{6}{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{6}{x} d x

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

\int \frac{6}{x} d x = 6 ln ∣ x ∣

= \frac{1}{5} x - 6 ln ∣ x ∣

Add a constant to the solution

= \frac{1}{5} x - 6 ln ∣ x ∣ + C

Popular Examples

sum from n=1 to infinity of (n!)/(106^n)

n = 1 \sum \infty \frac{n !}{10 6 ^{n}}

d/(dt)(e^{3tsin(2t)})

\frac{d}{d t} (e^{3 t s i n (2 t)})

x^2y^{''}-3xy^'+5y=0,y(1)=-1,y^'(1)=4

x^{2} y^{^{''}} - 3 x y^{^{'}} + 5 y = 0, y (1) = - 1, y^{^{'}} (1) = 4

integral of sin(2x)*sin(x)

\int sin (2 x) \cdot sin (x) d x

derivative of-(11/(sqrt(x)))

\frac{d}{d x} (- \frac{11}{x})

Frequently Asked Questions (FAQ)

What is the integral of 1/5-6/x ?
The integral of 1/5-6/x is 1/5 x-6ln|x|+C