Question

3x³- 2x+5 by x ,√x × dx
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Answer 1

Question:

I hope you're trying to ask:

$\\\tt \int \dfrac{3 {x}^{3} - 2x + 5}{x \sqrt{x} } dx$

Answer:

$\\\tt \dfrac{6{x}^{ \frac{5}{2} } }{5} - 4x - 10 {x}^{ \frac{ - 1}{2} }$

Step-by-step explanation:

$\\\tt 3\int {x}^{(3 - \frac{3}{2} )} dx - 2 \int {x}^{ \frac{ - 1}{2} } dx + 5\int {x}^{ \frac{ - 3}{2} } dx\\\tt = 3\int {x}^{ \frac{3}{2} } dx - 2 \int {x}^{ \frac{ - 1}{2} } dx + 5\int {x}^{ \frac{ - 3}{2} } dx$

Which equals:

$\\\tt 3( \dfrac{2{x}^{ \frac{5}{2} } }{5} ) - 4x + 5( \dfrac{2 {x}^{ \frac{ - 1}{2} } }{ - 1}) \\\tt = \dfrac{6{x}^{ \frac{5}{2} } }{5} - 4x - 10 {x}^{ \frac{ - 1}{2} }$