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find intergel :\( \int \frac{(1+x)^{2}}{\sqrt{x}} d x \) |
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Answer» ∫\(\frac{(1+x^2)}{\sqrt x}dx=\int\frac{x^2+2x+1}{\sqrt x}dx\) = ∫(x3/2 + 2 x1/2 + x-1/2)dx = 2/5 x5/2 + 4/3 x3/2 + 2x1/2 + c (∵ ∫xx dx \(=\frac{x^n+1}{n+1})\) |
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