A) \[\frac{\sqrt{3}}{2}\]
B) \[\sqrt{3}\]
C) \[\sqrt{\frac{3}{2}}\]
D) \[\frac{1}{2}\]
Correct Answer: B
Solution :
\[\int\limits_{0}^{\sin x}{f\left( x \right)}dx=\frac{\sqrt{3}}{2}x\] ? Differentiating both sides w.r.t.x \[f\left( \sin x \right)\cos x=\frac{\sqrt{3}}{2}\]\[x=\frac{\pi }{3}\] \[\Rightarrow \]\[y\left( \frac{\sqrt{3}}{2} \right)\times \frac{1}{2}=\frac{\sqrt{3}}{2}\]\[\Rightarrow \]\[f\left( \frac{\sqrt{3}}{2} \right)=\sqrt{3}\]You need to login to perform this action.
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