Integral of x*arctan(2x)

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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Parts: Integral of u dv = uv - Integral of v du
00:11 Choose u and dv
00:23 Differentiate u to get du
00:44 Integrate dv to get v
00:50 Substitute u, v and du
01:16 Simplify expression
01:44 Multiply and divide by 4 and add +1-1 on the numerator
02:21 Split into two integrals
03:00 Simplify and multiply and divide by 2
03:45 Integrate 1 and 2/(1+(2x)^2)
04:08 Rewrite expression
04:29 Add integration constant +C
04:41 Final answer!
04:46 See more!

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Тэги:

#x_arctan_2x_dx #integrar_arctan_2x #x_arctan_2x_integral #integral_of_x_arctan_2x #integral_of_x_arctan_2x_dx #integral_of_x_arctan(2x) #integrate_x_arctan_2x_dx #integrate_x_arctan_2x #how_to_integrate_x_arctan_2x #integrals_for_you #integrals_foryou #x_arctan_2x_integrate #integration_by_parts #x*arctan(2x) #x.arctan_2x_integrali #x*arctan(2x)_integral #integral_of_arctan_2x #integral_arctan_2x_dx #arctan_2x_integral #integrate_x*arctan_2x #arctan(2x) #integral_de_arctan(2x)

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