What is the integral from 3 to 5 of (y^2)/5+5/(4y^2) ?

The integral from 3 to 5 of (y^2)/5+5/(4y^2) is 67/10

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integral from 3 to 5 of (y^2)/5+5/(4y^2)

\int_{3}^{5} \frac{y ^{2}}{5} + \frac{5}{4 y ^{2}} d y

\frac{67}{10}

Decimal Notation

6.7

Solution steps

\int_{3}^{5} \frac{y ^{2}}{5} + \frac{5}{4 y ^{2}} 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_{3}^{5} \frac{y ^{2}}{5} d y + \int_{3}^{5} \frac{5}{4 y ^{2}} d y

\int_{3}^{5} \frac{y ^{2}}{5} d y = \frac{98}{15}

\int_{3}^{5} \frac{5}{4 y ^{2}} d y = \frac{1}{6}

= \frac{98}{15} + \frac{1}{6}

Simplify

\frac{98}{15} + \frac{1}{6} : \frac{67}{10}

= \frac{67}{10}

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What is the integral from 3 to 5 of (y^2)/5+5/(4y^2) ?
The integral from 3 to 5 of (y^2)/5+5/(4y^2) is 67/10