overall accuracy: 86.3% accuracy last 50: 86% record: 37 score: 37 if ∫₂³ f(x)dx = 5, and ∫₃⁴ f(x)dx = 4…

overall accuracy: 86.3% accuracy last 50: 86% record: 37 score: 37 if ∫₂³ f(x)dx = 5, and ∫₃⁴ f(x)dx = 4, then ∫₂⁴ f(x)dx equals -1 -9 9 1 high score board: overall refresh you must have at least 100 to be on the board. # name record

overall accuracy: 86.3% accuracy last 50: 86% record: 37 score: 37 if ∫₂³ f(x)dx = 5, and ∫₃⁴ f(x)dx = 4, then ∫₂⁴ f(x)dx equals -1 -9 9 1 high score board: overall refresh you must have at least 100 to be on the board. # name record

Answer

Explanation:

Step1: Recall integral property

By the property of definite - integrals $\int_{a}^{c}f(x)dx=\int_{a}^{b}f(x)dx+\int_{b}^{c}f(x)dx$ where $a < b < c$. Here, $a = 2$, $b = 3$, $c = 4$. So $\int_{2}^{4}f(x)dx=\int_{2}^{3}f(x)dx+\int_{3}^{4}f(x)dx$.

Step2: Substitute given values

We know that $\int_{2}^{3}f(x)dx = 5$ and $\int_{3}^{4}f(x)dx = 4$. Substituting these values into the above formula, we get $\int_{2}^{4}f(x)dx=5 + 4$.

Step3: Calculate the result

$5+4=9$.

Answer:

C. 9