overall accuracy: 87.1% record: 23 score: 23 if ∫³⁵ f(x)dx = -1, and ∫³⁸ f(x)dx = 2, then ∫⁵⁸ f(x)dx equals…

overall accuracy: 87.1% record: 23 score: 23 if ∫³⁵ f(x)dx = -1, and ∫³⁸ f(x)dx = 2, then ∫⁵⁸ f(x)dx equals 3 1 -1 -3 high score board: overall refresh you must have at least 100 to be on the board. # name record

overall accuracy: 87.1% record: 23 score: 23 if ∫³⁵ f(x)dx = -1, and ∫³⁸ f(x)dx = 2, then ∫⁵⁸ f(x)dx equals 3 1 -1 -3 high score board: overall refresh you must have at least 100 to be on the board. # name record

Answer

Explanation:

Step1: Use integral property

We know that $\int_{a}^{c}f(x)dx=\int_{a}^{b}f(x)dx+\int_{b}^{c}f(x)dx$. So, $\int_{3}^{8}f(x)dx=\int_{3}^{5}f(x)dx+\int_{5}^{8}f(x)dx$.

Step2: Rearrange to find $\int_{5}^{8}f(x)dx$

Given $\int_{3}^{5}f(x)dx = - 1$ and $\int_{3}^{8}f(x)dx=2$, we can rewrite the equation as $\int_{5}^{8}f(x)dx=\int_{3}^{8}f(x)dx-\int_{3}^{5}f(x)dx$.

Step3: Substitute values

Substitute $\int_{3}^{5}f(x)dx=-1$ and $\int_{3}^{8}f(x)dx = 2$ into the above - equation: $\int_{5}^{8}f(x)dx=2-(-1)$.

Step4: Calculate result

$2-(-1)=2 + 1=3$.

Answer:

3