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Popular >

integral of (8x-7/x)

Solution

\int (8 x - \frac{7}{x}) d x

Solution

4 x^{2} - 7 ln ∣ x ∣ + C

Solution steps

\int 8 x - \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 8 x d x - \int \frac{7}{x} d x

\int 8 x d x = 4 x^{2}

\int \frac{7}{x} d x = 7 ln ∣ x ∣

= 4 x^{2} - 7 ln ∣ x ∣

Add a constant to the solution

= 4 x^{2} - 7 ln ∣ x ∣ + C

Popular Examples

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(dy)/(dx)=e^4x+7y

\frac{d y}{d x} = e^{4} x + 7 y

Frequently Asked Questions (FAQ)

What is the integral of (8x-7/x) ?
The integral of (8x-7/x) is 4x^2-7ln|x|+C