Find the area under the curve $y = 8 x^{4}$ over the interval $[0, 5]$ Give the exact value.

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$5000$ is the exact value of the area under the curve $y = 8 x^{4}$ over the interval [0,5].

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Step 1 ：The area under a curve y=f(x) from x=a to x=b is given by the definite integral of f(x) from a to b. In this case, we need to find the definite integral of $8 x^{4}$ from 0 to 5.

Step 2 ：Let's denote x as x and f as $8 x^{4}$ .

Step 3 ：By calculating the definite integral, we find that the area under the curve is 5000.

Step 4 ： $5000$ is the exact value of the area under the curve $y = 8 x^{4}$ over the interval [0,5].

Find the area under the curve y=8x4 over the interval [0,5] Give the exact value.

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Find the area under the curve $y = 8 x^{4}$ over the interval $[0, 5]$ Give the exact value.