calc

how would you do the integral of the sin(square root x)
? I just can't seem to get started

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  1. Let y = sqrt x.
    Then y^2 = x
    and 2y dy = dx
    That makes your integral the same as
    the integral of 2y sin y dy
    which can be solved using integration by parts.
    The integral is 2 sin y - 2 y cos y
    = 2 sin (sqrt x) - 2 sqrt x cos(sqrt x)

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