9616948bf747d4085c0cb9df4964af67 - 1 1 1 x,so that dy = 2...

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Unformatted text preview: 1 1 1 x,so that dy = 2 x−1/2 dx = √ dx = dx. 2y 2x √ Thus, 85 cos xdx = 85 cos y (2y dy ) = 170 y cos y dy . Now use integration by parts with u = y, dv = cos y dy, du = dy, v = sin y to get y cos y dy√ y sin y − sin y dy = y sin y + cos y + C1 , = so 8√cos √ = 170y sin y + 170 cos y + C 5 xdx √ = 170 x sin x + 170 cos x + C . Let y = √ ...
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