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Product Law

Solve ∫ 3x2...

Question

Solve $\int (3 x^{2} - 4) x d x, x \in R$

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Solution

Let I $= \int (3 x^{2} - 4) x d x$

$= \int (3 x^{3} - 4 x) d x$

I $= \frac{3}{4} x^{4} - 2 x^{2} + c$

Hence, $\int (3 x^{2} - 4) x d x = \frac{3}{4} x^{4} - 2 x^{2} + c$

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