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Popular >

integral of 1/(y+7)

Solution

\int \frac{1}{y + 7} d y

Solution

ln ∣ y + 7 ∣ + C

Solution steps

\int \frac{1}{y + 7} 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 + 7

= ln ∣ y + 7 ∣

Add a constant to the solution

= ln ∣ y + 7 ∣ + C

Popular Examples

integral of (sqrt(x^2+16))/(7x^2)

\int \frac{x ^{2} + 16}{7 x ^{2}} d x

integral of sinh(5x-1)

\int sinh (5 x - 1) d x

integral of (3-x^2+4x^5-2x^{-3})

\int (3 - x^{2} + 4 x^{5} - 2 x^{- 3}) d x

integral of 2/(e^x+1)

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

integral of sqrt(1+4x+x^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 1/(y+7) ?
The integral of 1/(y+7) is ln|y+7|+C