Tentukan hasil integral berikut :
Jawab:
c.
[tex]=(2)(\frac{1}{-2} )x^{-2} -(4)(\frac{1}{2} )x^{ 2}[/tex]
[tex]=-\frac{1}{x^{2} } -2x^{2}[/tex]
[tex]=-\frac{1}{4^{2} } -2(4)^{2}- (-\frac{1}{2^{2} } -2(2)^{2})[/tex]
[tex]=-\frac{1}{16} - 32 +\frac{1}{4} +8[/tex]
[tex]=-24+\frac{3}{16}[/tex]
[tex]=-23\frac{13}{16}[/tex]
d.
[tex]=\int\limits^4_1 ({2x^{-2} -6x^{-3} } )\, dx[/tex]
[tex]=(2)(\frac{1}{-1} )x^{-1} -(6)(\frac{1}{-2} )x^{-2}[/tex]
[tex]=-2x^{-1} +3x^{-2}[/tex]
[tex]=-\frac{2}{x} +\frac{3}{x^{2} }[/tex]
[tex]=-\frac{2}{4} +\frac{3}{4^{2} }-(-\frac{2}{1} +\frac{3}{1^{2} })[/tex]
[tex]=-\frac{1}{2} +\frac{3}{16} +2-3[/tex]
[tex]=-1\frac{5}{16}[/tex]
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