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Popular >

integral from 1 to 2 of x+2/x

Solution

\int_{1}^{2} x + \frac{2}{x} d x

Solution

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

+1

Decimal Notation

2.88629 \dots

Solution steps

\int_{1}^{2} x + \frac{2}{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_{1}^{2} x d x + \int_{1}^{2} \frac{2}{x} d x

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

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

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

Popular Examples

integral from 1 to e of 1+e-x-ln(x)

\int_{1}^{e} 1 + e - x - ln (x) d x

integral from 2-y to-y^2+2 of 1/2 y

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

integral from 1 to 4 of sqrt(25-5x)

\int_{1}^{4} 25 - 5 x d x

integral from 0 to 6-2x of (6-2x-y)

\int_{0}^{6 - 2 x} (6 - 2 x - y) d y

integral from-0 to+5 of x/(sqrt(4+x^2))

\int_{- 0}^{+ 5} \frac{x}{4 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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