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Question

Question: \(\int_{}^{}{\sin h^{- 1}xdx}\)equals...

sinh1xdx\int_{}^{}{\sin h^{- 1}xdx}equals

A

xcosh1xx2+1+cx\cos h^{- 1}x - \sqrt{x^{2} + 1} + c

B

xcosh1x+x2+1+cx\cos h^{- 1}x + \sqrt{x^{2} + 1} + c

C

xsinh1x+x2+1+cx\sin h^{- 1}x + \sqrt{x^{2} + 1} + c

D

xsinh1xx2+1+cx\sin h^{- 1}x - \sqrt{x^{2} + 1} + c

Answer

xsinh1xx2+1+cx\sin h^{- 1}x - \sqrt{x^{2} + 1} + c

Explanation

Solution

=xsinh1x1+x2+c.= x\sin h^{- 1}x - \sqrt{1 + x^{2}} + c.