Evaluate the integral. [ int_{0}^{pi / 2}left(6 sin ^{5}(t) cos (t) mathbf{i}+3 sin (t) cos ^{2}(t) mathbf{j}+8 sin (t) cos (t) mathbf{k} ight) d t ]
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To evaluate the integral, we need to find the area under the curve and then use the formula for the derivative of a function. Show more…
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