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Title: What should u equal in order to use u-substitution to solve these integrals? Post by: lester on Sep 24, 2012 ? sin²(x)cos(x) dx
? sin(x)/cos^3(x) dx Title: What should u equal in order to use u-substitution to solve these integrals? Post by: dave67tapout on Sep 24, 2012 for the first one use u = sin(x), du = cos(x)
for the second use u = cos(x), du = -sin(x) Title: What should u equal in order to use u-substitution to solve these integrals? Post by: dave2011 on Sep 24, 2012 for #1 u=sinx so then du= -cosx dx and the cos cancels so you get
-?u^2du = - (1/3) u^3 = - (1/3)sin^3(x) + c for #2 u= cos(x) so du= sin(x)dx ?u^3 du = .25u^4 = .25cos^4(x) + c |