∫x/(4+9x^2)dx

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∫x/(4+9x^2)dx∫x/(4+9x^2)dx∫x/(4+9x^2)dx∫x/(4+9x^2)dx=1/2*∫dx^2/(4+9x^2)=1/18*∫d9x^2/(4+9x^2)=1/18*∫d

∫x/(4+9x^2)dx
∫x/(4+9x^2)dx

∫x/(4+9x^2)dx
∫x/(4+9x^2)dx
=1/2*∫dx^2/(4+9x^2)
=1/18*∫d9x^2/(4+9x^2)
=1/18*∫d(9x^2+4)/(4+9x^2)
=1/18*ln(9x^2+4)+c

=1/18 1/(4+9x^2) d(4+9x^2) = 1/18 ln(4+9x^1)