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rjkz [21]
2 years ago
9

Use a definite integral to find the area under the curve between the given x-values. f(x) = 3 x from x = 1 to x = 8

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
4 0

Answer: 94.5

Step-by-step explanation:

Given

Function is f(x)=3x and the boundary is x=1\ \text{to}\ x=8

Integrating the function

\Rightarrow I=\int_{1}^{8}f(x)dx\\\\\Rightarrow I=\int_{1}^{8}3xdx\\\\\Rightarrow I=\left ( \frac{3x^2}{2} \right )_1^8\\\Rightarrow I=1.5(8^2-1^2)=1.5(64-1)\\\Rightarrow I=94.5

The value of integral is 94.5

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