What is the integral from 1 to 2 of 1/y+2/3 ?

The integral from 1 to 2 of 1/y+2/3 is ln(2)+2/3

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integral from 1 to 2 of 1/y+2/3

\int_{1}^{2} \frac{1}{y} + \frac{2}{3} d y

ln (2) + \frac{2}{3}

Decimal Notation

1.35981 \dots

Solution steps

\int_{1}^{2} \frac{1}{y} + \frac{2}{3} d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{2} \frac{1}{y} d y + \int_{1}^{2} \frac{2}{3} d y

\int_{1}^{2} \frac{1}{y} d y = ln (2)

\int_{1}^{2} \frac{2}{3} d y = \frac{2}{3}

= ln (2) + \frac{2}{3}

\int_{0}^{3} (2 x - 2) d x

\int_{0}^{1} (\frac{1}{y} + x) d x

\int_{- 3}^{- 2} x (x + 1)^{2} d x

\int_{- 3}^{1} 2 x d x

\int_{- 3}^{\infty} e^{- 2 x} d x

What is the integral from 1 to 2 of 1/y+2/3 ?
The integral from 1 to 2 of 1/y+2/3 is ln(2)+2/3