∫x/(4+9x^2)dx

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∫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(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)

∫x/(4+9x^2)dx 用换元法求 ∫dx/(4-9x^2) ∫dx／根号4-9x^2 积分符号∫ 2^x/(1+4^x) dx积分符号∫(X+1)/(x^2+9) dx积分符号∫(tg根号X) / 根号X dx ∫x^3/9+X^2 dx. ∫3+x/(9-x^2)dx ∫x^3/(9+x^2)dx ∫（x^2+1/x^4)dx ∫dx/根号(4x-x^2) ∫1/(x^4-x^2)dx ∫x^2/(9+4x^2)dx ∫x^2/(4+9x^2)dx求高手 ∫(1-x)/[√(9-4x^2)]dx= ∫1-x/(√9-4x^2)dx, 求∫ (x-1)/ （9-4x^2）dx ∫(x-1)/√(9-4x^2)dx不定积分 求不定积分∫x/(√4-9x^2)dx ∫1/(9x^2+12x+4)dx