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Popular >

integral from 1 to 2 of x+1/(x^2)

Solution

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

Solution

2

Solution steps

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

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

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

= \frac{3}{2} + \frac{1}{2}

Simplify

\frac{3}{2} + \frac{1}{2} : 2

= 2

Graph

Popular Examples

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\int_{- \frac{π}{4}}^{\frac{π}{4}} sin (x) d x

integral from 0 to 2 of 2y

\int_{0}^{2} 2 y d y

integral from 1 to 3 of (1/(x^2))

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

integral from 0 to 2pi of 2sin(t)cos(t)

\int_{0}^{2 π} 2 sin (t) cos (t) d t

integral from 0 to 1 of (e^x-e^{-x})/2

\int_{0}^{1} \frac{e ^{x} - e ^{- x}}{2} d x

Frequently Asked Questions (FAQ)

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