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Subjects>Math>Other Math

Determine the integral 3x minus1 x plus 2dx?

Anonymous

∙ 15y ago

Updated: 4/28/2022

Int[3x-x+2]

=Int[2x+2]

=x^2 +2x +C

Wiki User

∙ 15y ago

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Integral of ln2x?

I will denote an integral as \int (LaTeX). We can let u = 2x and du = 2dx, and substitute \int ln (2x) dx = (1/2) \int ln u du. Either using integration by parts or by memorization, this is equal to (1/2) u ln u - u + C = (1/2)(2x ln (2x) - 2x) + C, where C is an arbitrary constant.

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