(a) Explain why the shaded region in Figure 5 has area ln a 0 ey dy. (b) Prove the
Chapter 5, Problem 83(choose chapter or problem)
(a) Explain why the shaded region in Figure 5 has area ln a 0 ey dy. (b) Prove the formula a 1 ln x dx = a ln a ln a 0 ey dy. (c) Conclude that a 1 ln x dx = a ln a a + 1. (d) Use the result of (a) to find an antiderivative of y = ln x. x y a ln a y = ln x
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