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Evaluate the Following Integrals:
(A) (2+1t)(21t)dt\int \left( 2 + \frac { 1 } { \sqrt { t } } \right) \left( 2 - \frac { 1 } { \sqrt { t } } \right) d t

question 187

Essay

Evaluate the following integrals:
(a) (2+1t)(21t)dt\int \left( 2 + \frac { 1 } { \sqrt { t } } \right) \left( 2 - \frac { 1 } { \sqrt { t } } \right) d t (b) 01/211t2dt\int _ { 0 } ^ { 1 / 2 } \frac { 1 } { \sqrt { 1 - t ^ { 2 } } } d t (c) 032xdx\int _ { 0 } ^ { 3 } | 2 - x | d x (d) ln2m3e2xdx\int _ { \ln 2 } ^ { \operatorname { m3 } } e ^ { 2 x } d x

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