一道积分题求解
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一道积分题求解一道积分题求解 一道积分题求解∫[(x^2)/(9+4x^2)]dx=1/4【∫[(4x^2+9)/(9+4x^2)]dx-∫9/(9+4x^2)]dx】=1/4∫{1-[9/
一道积分题求解
一道积分题求解
一道积分题求解
∫[(x^2)/(9+4x^2)]dx=1/4【∫[(4x^2+9)/(9+4x^2)]dx-∫9/(9+4x^2)]dx】
=1/4∫{1-[9/(9+4x^2)]}dx=1/4∫dx - (1/4)乘(3/2)∫[1/(1+(2/3x)^2)]d(2/3x)
=1/4x-3/8arctan(2/3x)+c
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