Evaluate the Following Integrals:
(A) $\int _ { 0 } ^ { x / 2 } \sin x \cos ^ { 2 } x d x$

question 185

Essay

Evaluate the following integrals:
(a) $\int _ { 0 } ^ { x / 2 } \sin x \cos ^ { 2 } x d x$ (b) $\int _ { 0 } ^ { x / 2 } \frac { \cos x } { \sqrt { 1 - \sin x } } d x$ (c) $\int _ { - 4 } ^ { 4 } \frac { \sin x \cdot \sqrt { 16 - x ^ { 2 } } } { 4 + x ^ { 2 } } d x$ (d) $\int _ { - 2 } ^ { 2 } \left( x ^ { 3 } + 2 \sqrt { 4 - x ^ { 2 } } \right) d x$

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