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Popular >

integral from-3 to 3 of 81-x^4

Solution

\int_{- 3}^{3} 81 - x^{4} d x

Solution

\frac{1944}{5}

+1

Decimal

388.8

Solution steps

\int_{- 3}^{3} 81 - x^{4} 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_{- 3}^{3} 81 d x - \int_{- 3}^{3} x^{4} d x

\int_{- 3}^{3} 81 d x = 486

\int_{- 3}^{3} x^{4} d x = \frac{486}{5}

= 486 - \frac{486}{5}

Simplify

486 - \frac{486}{5} : \frac{1944}{5}

= \frac{1944}{5}

Graph

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\int_{2}^{8} (4 x - 9)^{20} d x

integral from (3pi)/2 to 2pi of cos(θ)

\int_{\frac{3 π}{2}}^{2 π} cos (θ) d θ

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of 81-x^4 ?
The integral from-3 to 3 of 81-x^4 is 1944/5