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    IBEasyCalculus10–12

    Basic Integration

    Integração Básica

    Find ∫3x2 dx\int 3x^{2} \, dx.

    Use the power rule for integration: ∫xn dx=xn+1n+1+C\int x^{n} \, dx = \frac{x^{n+1}}{n+1} + C.

    Solution

    ∫3x2 dx=3×x33+C=x3+C\int 3x^{2} \, dx = 3 \times \frac{x^{3}}{3} + C = x^{3} + C