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Popular >

integral from 0 to 1 of y^4+y^6

Solution

\int_{0}^{1} y^{4} + y^{6} d y

Solution

\frac{12}{35}

+1

Decimal

0.34285 \dots

Solution steps

\int_{0}^{1} y^{4} + y^{6} 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_{0}^{1} y^{4} d y + \int_{0}^{1} y^{6} d y

\int_{0}^{1} y^{4} d y = \frac{1}{5}

\int_{0}^{1} y^{6} d y = \frac{1}{7}

= \frac{1}{5} + \frac{1}{7}

Simplify

\frac{1}{5} + \frac{1}{7} : \frac{12}{35}

= \frac{12}{35}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of y^4+y^6 ?
The integral from 0 to 1 of y^4+y^6 is 12/35