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Question

Integrate: sin2(2x+3)

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Solution

sin2(2x+3)dx
Let, 2x+3 = t
2dx=dt
dx=dt2
12(sin2t.dt) Now, sin2t=12(1cos2t)
=14(1cos2t)dt
=14[t+sin2t2]+c
=1414[(2x+3)sin(4x+6)2]+c
=4x+6sin(4x+6)8+c.

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