3. for the given definite integral, what would be an expression for δx (the width of each rectangle) in the…

3. for the given definite integral, what would be an expression for δx (the width of each rectangle) in the riemann sum notation? ∫−33x2dx δx=−3n δx=−6n δx=3n δx=6n

3. for the given definite integral, what would be an expression for δx (the width of each rectangle) in the riemann sum notation? ∫−33x2dx δx=−3n δx=−6n δx=3n δx=6n

Answer

Explanation:

Step1: Recall the formula for $\Delta x$

For a definite - integral $\int_{a}^{b}f(x)dx$ in Riemann - sum notation, $\Delta x=\frac{b - a}{n}$.

Step2: Identify $a$ and $b$

In the definite integral $\int_{-3}^{3}x^{2}dx$, we have $a=-3$ and $b = 3$.

Step3: Calculate $\Delta x$

$\Delta x=\frac{3-(-3)}{n}=\frac{3 + 3}{n}=\frac{6}{n}$

Answer:

$\Delta x=\frac{6}{n}$