What is the integral of (2x-13)/(x^2-13x+50) ?

The integral of (2x-13)/(x^2-13x+50) is ln|x^2-13x+50|+C

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integral of (2x-13)/(x^2-13x+50)

\int \frac{2 x - 13}{x ^{2} - 13 x + 50} d x

ln x^{2} - 13 x + 50 + C

Solution steps

\int \frac{2 x - 13}{x ^{2} - 13 x + 50} d x

Apply u-substitution

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = x^{2} - 13 x + 50

= ln x^{2} - 13 x + 50

Add a constant to the solution

= ln x^{2} - 13 x + 50 + C

y^{^{'}} + 0.564 y^{2} = 0

\frac{\partial}{\partial x} (4 x z sin (y))

n = 2 \sum \infty \frac{6}{n ^{2} - 1}

\frac{\partial}{\partial y} (cos (x y) + sin (yz))

\int \frac{7}{x ^{3}} d x

What is the integral of (2x-13)/(x^2-13x+50) ?
The integral of (2x-13)/(x^2-13x+50) is ln|x^2-13x+50|+C