Objective: using integration to evaluate the area between two curves, we need to: 1) solve for the intersection point (x-values) 2) if f(x) is above g(x), we subtract g(x) from f(x) and find the definite integral between [a,b] 3) ignore the negative area, don't have to invert [a,b]-->[b,a] like we did in Ex 11H. The negative areas will cancel out in this case
objective: able to antidifferentiate y=ax^n and y=(ax+b)^n technique: Case 1: 1) add 1 to the power 2) divide it case 2: 1) diff in and divide it 2) anti-diff out
objective: to find the antidifferentiation of circular functions; the area under the sine, cosine curve. We also need to take into account the area under the x-axis from exercise 11F. NOTE!~!! the antidifferentiation of sine = NEGATIVE cosine!
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