What is the integral from-1 to 4 of x^4 ?

The integral from-1 to 4 of x^4 is 205

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integral from-1 to 4 of x^4

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

205

Solution steps

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

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{- 1}^{4}

= [\frac{x ^{5}}{5}]_{- 1}^{4}

Compute the boundaries:

205

= 205

\int_{0}^{2} 4 - t^{2} d t

\int_{0}^{1} x^{2} + 3 x d x

\int_{1}^{2} 4 x^{5} d x

\int_{- 1}^{1} x x^{2} + 4 d x

\int_{- 1}^{2} x (1 - x^{2}) d x

What is the integral from-1 to 4 of x^4 ?
The integral from-1 to 4 of x^4 is 205