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प्रश्न
Find the following integrals:
`intsqrtx( 3x^2 + 2x + 3) dx`
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उत्तर
Let `I = int sqrtx (3x^2 + 2x + 3)` dx
`I = int (3x^(5/2) + 2x^(3/2) + 3x^(1/2))` dx
`I = 3 int x^(5/2) dx + 2 int x^(3/2) dx + 3 int x^(1/2)` dx
`I = 6/7 x^(7/2) + 4/5 x^(5/2) + 2x^(3/2) + C`
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