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Evaluate the Following Integrals:
(A) ∫01/2x1−x2dx\int _ { 0 } ^ { 1 / 2 } \frac { x } { \sqrt { 1 - x ^ { 2 } } } d x

Question 119

Essay

Evaluate the following integrals:
(a) ∫01/2x1−x2dx\int _ { 0 } ^ { 1 / 2 } \frac { x } { \sqrt { 1 - x ^ { 2 } } } d x (b) ∫ex+exdx\int e ^ { x + e ^ { x } } d x (c) ∫3x+2x−1dx\int \frac { 3 x + 2 } { x - 1 } d x (d) ∫ln⁡(1+x2)dx\int \ln \left( 1 + x ^ { 2 } \right) d x

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