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Question

Mathematics Question on Integration

sin5x2sinx2dx=∫\frac{sin\frac{5x}{2'}}{sin\frac{x}{2}}dx=

A

2x+sinx+2sin2x+C2x + sin x + 2 sin 2x + C

B

x+2sinx+2sin2x+Cx + 2sinx + 2 sin 2x + C

C

x+2sinx+sin2x+Cx+2sinx + sin 2x + C

D

2x+sinx+sin2x+C2x + sinx + sin 2x + C

Answer

x+2sinx+sin2x+Cx+2sinx + sin 2x + C

Explanation

Solution

The correct answer is Option (C) : x+2sinx+sin2x+Cx+2sinx + sin 2x + C