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Evaluate: int(5x^(3)+2x^(-5)-7x+(1)/(s...

Evaluate:
`int(5x^(3)+2x^(-5)-7x+(1)/(sqrt(x))+(5)/(x))dx`

Text Solution

AI Generated Solution

To evaluate the integral \( \int(5x^{3}+2x^{-5}-7x+\frac{1}{\sqrt{x}}+\frac{5}{x})dx \), we will integrate each term separately. ### Step-by-Step Solution: 1. **Separate the Integral**: \[ \int(5x^{3}+2x^{-5}-7x+\frac{1}{\sqrt{x}}+\frac{5}{x})dx = \int 5x^{3}dx + \int 2x^{-5}dx - \int 7xdx + \int \frac{1}{\sqrt{x}}dx + \int \frac{5}{x}dx \] ...
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