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如图,第三题,求解
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∫xf(x) dx =arcsinx + C
xf(x) = 1/√(1-x^2)
1/f(x) = x√(1-x^2)
∫ dx/f(x)
= ∫x√(1-x^2) dx
= (-1/3) ∫d(1-x^2)^(3/2)
= (-1/3)(1-x^2)^(3/2) + C
ans : D
xf(x) = 1/√(1-x^2)
1/f(x) = x√(1-x^2)
∫ dx/f(x)
= ∫x√(1-x^2) dx
= (-1/3) ∫d(1-x^2)^(3/2)
= (-1/3)(1-x^2)^(3/2) + C
ans : D
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