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Popular >

integral of 1/(y-6)

Solution

\int \frac{1}{y - 6} d y

Solution

ln ∣ y - 6 ∣ + C

Solution steps

\int \frac{1}{y - 6} d y

Apply u-substitution

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

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

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = y - 6

= ln ∣ y - 6 ∣

Add a constant to the solution

= ln ∣ y - 6 ∣ + C

Graph

Popular Examples

integral of sqrt(x)+sin(x)

\int x + sin (x) d x

integral of 1/(\sqrt[3]{x^7)}

\int \frac{1}{3 x ^{7}} d x

integral of e^{5x-6}

\int e^{5 x - 6} d x

integral of (2y+x)

\int (2 y + x) d x

integral of (x^4)/(6-x^5)

\int \frac{x ^{4}}{6 - x ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(y-6) ?
The integral of 1/(y-6) is ln|y-6|+C