(b) Using integration by parts on ∫xn3x+1 dx, demonstrute the reduction formula, ∫xn3x+1dx=3n+43xn3(x+1)4−3n+43n∫xn
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(b) Using integration by parts on ∫xn3x+1 dx, demonstrute the reduction formula, ∫xn3x+1dx=3n+43xn3(x+1)4−3n+43n∫xn
(b) Using integration by parts on ∫xn3x+1 dx, demonstrute the reduction formula, ∫xn3x+1dx=3n+43xn3(x+1)4−3n+43n∫xn−13x+1dx (7,1))4 (c) Suppose we are given a function, g(x), which has the property, [xg(x)−sec(x+g(x))]′=xg′(x). Using this knowledge, integrate ∫g(x)dx expressing your anstoer in terms of g(x). Hint: Don't bother trying to find g(x). It can't be determined with the calculus you know!
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