Question

Integral de 1/2x³dx

Resposta tem q dar -1/4x² +c

Answer 1

∫ 1/2x³ dx = 1/2 ∫ 1/x³ = 1/2 ∫ x^-3 = 1/2 ((x^-2)/-2) = 1/2 (1/-2x²) = -1/4x² + c

Answer 2

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$\displaystyle\sf{\int\dfrac{1}{2x^3}~dx=\dfrac{1}{2}\int x^{-3}~dx=\dfrac{1}{2}\cdot\left(-\dfrac{1}{2}x^{-2}\right)}\\\displaystyle\sf{\int\dfrac{1}{2x^3}~dx=-\dfrac{1}{4x^2}+k}$