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∫f`(lnx)/xdx=sinx+C求f(x)要过程
人气:397 ℃ 时间:2020-07-27 09:49:06
解答
∫ f'(lnx)/x dx = sinx + C
f'(lnx)/x = cosx
f'(lnx) = xcosx
f'(x) = e^x * cos(e^x)
f(x) = ∫ e^x * cos(e^x) dx = ∫ cos(e^x) d(e^x)
f(x) = sin(e^x) + C
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