(1 point)

Find area of the region under the curve $y = 3 x^{3} - 9$ and above the $x$ -axis, for $4 \leq x \leq 6$ . area $=$

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Answer

$762$ is the final answer.

Steps

Step 1 ：We are given the function $y = 3 x^{3} - 9$ and we are asked to find the area under the curve and above the x-axis, for $4 \leq x \leq 6$ .

Step 2 ：The area under the curve is given by the definite integral of the function from the lower limit to the upper limit.

Step 3 ：So, we need to integrate the function $y = 3 x^{3} - 9$ from $x = 4$ to $x = 6$ .

Step 4 ：After performing the integration, we find that the area under the curve is 762.

Step 5 ： $762$ is the final answer.