Chapter 11: Problem 28
Find the indefinite integral and check your result by differentiation. $$ \int(5-x) d x $$
Chapter 11: Problem 28
Find the indefinite integral and check your result by differentiation. $$ \int(5-x) d x $$
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Get started for freeUse a graphing utility to graph the region bounded by the graphs of the functions, and find the area of the region. $$ f(x)=x^{2}-4 x, g(x)=0 $$
Use the Midpoint Rule with \(n=4\) to approximate the area of the region. Compare your result with the exact area obtained with a definite integral. $$ f(x)=1-x^{2}, \quad[-1,1] $$
Sketch the region bounded by the graphs of the functions and find the area of the region. $$ f(x)=\sqrt[3]{x}, g(x)=x $$
Sketch the region bounded by the graphs of the functions and find the area of the region. $$ y=x^{3}-2 x+1, y=-2 x, x=1 $$
Sketch the region bounded by the graphs of the functions and find the area of the region. $$ f(y)=\sqrt{y}, y=9, x=0 $$
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