Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose that F(x) and G(x) are antiderivatives of f(x) and g(x) respectively, and that c is a constant. Then: (a) A constant factor can be moved through an integral sign; that is, [cf(x) dx = cF(x) + C. (b) An antiderivative of a sum is the sum of the antiderivatives; that is, [[f(x) + g(x)] dx = F(x) + G(x) + C. (c) An antiderivative of a difference is the difference of the antiderivatives; that is, [{f(x) − g(x)] dx = F(x) − G(x) + C. - da - x7+1 r+1 » / 20² NOTE: Enter the exact answer. The power rule: x" dx = 7 +]dy = SH - √5 + + C, r = -1. +C
Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose that F(x) and G(x) are antiderivatives of f(x) and g(x) respectively, and that c is a constant. Then: (a) A constant factor can be moved through an integral sign; that is, [cf(x) dx = cF(x) + C. (b) An antiderivative of a sum is the sum of the antiderivatives; that is, [[f(x) + g(x)] dx = F(x) + G(x) + C. (c) An antiderivative of a difference is the difference of the antiderivatives; that is, [{f(x) − g(x)] dx = F(x) − G(x) + C. - da - x7+1 r+1 » / 20² NOTE: Enter the exact answer. The power rule: x" dx = 7 +]dy = SH - √5 + + C, r = -1. +C
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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