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Integral x√x² – 2 batas atas 3√2 batas bawah √2

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√2ഽ3√2x√x² – 2 dx

Misal:
x² – 2 = u ➙ 2x dx = du ➙ xdx = 1/2 du
ഽ x√x² – 2 dx = 1/2ഽ u 1/2du
                       = 1/2.2/3.u1/2

                        = 1/3u1 1/2
                        = 1/3u√u
√2ഽ3√2x√x² – 2 dx = 1/3(x² – 2)3/2 ]√23√2
= 1/3(18 – 2)3/2 – 1/3(6 – 2)3/2
= 1/3(4²),3/2 – 1/3(2²)3/2
= 1/3(4³) – 1/3(2³)
= 64/3 – 8/3
= 56/3
= 18 2/3

  Diketahui fungsi f(x) = 2x + 3 dan g(x) = x² – 2x + 4.