- #1
roadworx
- 21
- 0
Homework Statement
I'm wondering if anyone can check these integrations for me, or suggest alternative answers if they're not quite right, or can be simplified?
1) [tex]\int x^{\sqrt{2}}[/tex]
2) [tex]\int x . \sqrt{x}[/tex]
3) [tex]\int \frac{1}{x^\pi}[/tex]
Homework Equations
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The Attempt at a Solution
1) [tex]\int x^{1.4} = \frac{x^{2.4}}{2.4} + C [/tex]
2) [tex]\int x . x^{\frac{1}{2}} = \frac{x^2}{2} . \frac{x^{\frac{3}{2}}}{\frac{3}{2}} = \frac{x^{\frac{3}{2}}}{3} . x^2 + C [/tex]
3) [tex]\int \frac{1}{x^\pi} = \int x^{-\pi} = \frac{x^{-\pi+1}}{-\pi+1} + C [/tex]