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Question

Question: \(\int_{}^{}\frac{d(x^{2} + 1)}{\sqrt{x^{2} + 2}}\)=...

∫d(x2+1)x2+2\int_{}^{}\frac{d(x^{2} + 1)}{\sqrt{x^{2} + 2}}=

A

x2+2\sqrt{x^{2} + 2}+ c

B

2x2+2\sqrt{x^{2} + 2}+ c

C

(x2 + 2)–3/2 + c

D

None of these

Answer

2x2+2\sqrt{x^{2} + 2}+ c

Explanation

Solution

=∫2xx2+2dx\int_{}^{}{\frac{2x}{\sqrt{x^{2} + 2}}dx} = 2x2+2\sqrt{x^{2} + 2} + c