\[\int_{{}}^{{}}{\frac{dx}{\sqrt{x+a}+\sqrt{x+b}}}=\] [AISSE 1989]

\[\frac{2}{3(a-b)}[{{(x+a)}^{3/2}}+{{(x+b)}^{3/2}}]+c\]

\[\frac{2}{3(b-a)}[{{(x+a)}^{3/2}}-{{(x+b)}^{3/2}}]+c\]

\[\frac{2}{3(a-b)}[{{(x+a)}^{3/2}}-{{(x+b)}^{3/2}}]+c\]

\[\int_{{}}^{{}}{\frac{dx}{\sqrt{x+a}+\sqrt{x+b}}}=\]

1.	\[\int_{{}}^{{}}{\frac{dx}{\sqrt{x+a}+\sqrt{x+b}}}=\] [AISSE 1989]
A.	\[\frac{2}{3(b-a)}[{{(x+a)}^{3/2}}-{{(x+b)}^{3/2}}]+c\]
B.	\[\frac{2}{3(a-b)}[{{(x+a)}^{3/2}}-{{(x+b)}^{3/2}}]+c\]
C.	\[\frac{2}{3(a-b)}[{{(x+a)}^{3/2}}+{{(x+b)}^{3/2}}]+c\]
D.	None of these
Answer» C. \[\frac{2}{3(a-b)}[{{(x+a)}^{3/2}}+{{(x+b)}^{3/2}}]+c\]

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\[\int_{{}}^{{}}{\frac{dx}{\sqrt{x+a}+\sqrt{x+b}}}=\] [AISSE 1989]

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