A) \[{{(\cos x)}^{\sin x}}.\ell n(\cos x)+c\]
B) \[{{(\cos x)}^{\cos x}}.\sin x+c\]
C) \[{{(\cos x)}^{\sin x}}+c\]
D) \[{{(\cos x)}^{\sin x-1}}+c\]
Correct Answer: C
Solution :
\[{{(\cos x)}^{\sin x}}=t\] i.e., \[{{e}^{\sin x\ell n(\cos x)}}=t\] \[{{(\cos x)}^{\sin x}}\cdot \left( \ell n{{(\cos \,x)}^{\cos x}}-\tan x\sin x \right)dx=dt\] \[\int_{{}}^{{}}{dt=t+c}\]You need to login to perform this action.
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