Which of the following best explains the concept of integrating with respect to

Question

Which of the following best explains the concept of integrating with respect to y? Please select one answer A,B,C,or D and explain why

A. You cannot integrate with respect to y, only with respect to x.

B. Integrating with respect to y is more difficult, but looks exactly the same graphically.

C. Integrating with respect to y uses the chain rule to undo complex substitutions.

D. Integrating with respect to y is like integrating with respect to x, but instead of the internal rectangles being vertical, they are horizontal.

Explanation / Answer

The answer is D.

When you integrate respect to y, you are taking the intervals of the evaluation from the y-axis, wich means you are evaluating the area under the curve, and under that curve will be the y-axis. When you integrate from the x-axis your function will be f(x), but from the y-axis your function will be f(y)

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