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Evaluate the Following Integrals:
(A) ∫ln⁡xx2dx\int \frac { \ln x } { x ^ { 2 } } d x

Question 128

Essay

Evaluate the following integrals:
(a) ∫ln⁡xx2dx\int \frac { \ln x } { x ^ { 2 } } d x (b) ∫x2+x+1x2−1dx\int \frac { x ^ { 2 } + x + 1 } { x ^ { 2 } - 1 } d x (c) ∫cos⁡x4+sin⁡2xdx\int \frac { \cos x } { 4 + \sin ^ { 2 } x } d x (d) ∫x34−x2dx\int x ^ { 3 } \sqrt { 4 - x ^ { 2 } } d x

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