Question #348854

Solve▒∛xdxSolve ∫▒∛x dx


1
Expert's answer
2022-06-08T04:57:56-0400

x3dx=x13dx=x13+113+1+C=x4343+C=34xx3+C\int {\sqrt[3]{x}} dx = \int {{x^{\frac{1}{3}}}} dx = \frac{{{x^{\frac{1}{3} + 1}}}}{{\frac{1}{3} + 1}} + C = \frac{{{x^{\frac{4}{3}}}}}{{\frac{4}{3}}} + C = \frac{3}{4}x\sqrt[3]{x} + C

Answer: 34xx3+C\frac{3}{4}x\sqrt[3]{x} + C


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