Evaluate
(a) ∫ 1 2 ( 2 t + 3 t 2 ) ( 4 t 2 − 5 t ) d t {\displaystyle \int _{1}^{2}{\bigg (}2t+{\frac {3}{t^{2}}}{\bigg )}{\bigg (}4t^{2}-{\frac {5}{t}}{\bigg )}~dt}
(b) ∫ 0 2 ( x 3 + x ) x 4 + 2 x 2 + 4 d x {\displaystyle \int _{0}^{2}(x^{3}+x){\sqrt {x^{4}+2x^{2}+4}}~dx}
Solution
Detailed Solution
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