Consider the given integral. #10; #10; I=∫( 2x^2 1 )dx #10; #10; I=2( x^33) x+C #10; #10; I=2x^33 x+C #10; #10; #160; #10; ...

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Theorems on Integration

∫ 2x2-1dx =

Question

$\int (2 x^{2} - 1) d x =$

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Solution

Consider the given integral.

$I = \int (2 x^{2} - 1) d x$

$I = 2 (\frac{x^{3}}{3}) - x + C$

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

Hence, this is the answer.

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