Q1 of 865 Page 19

∫ sin 4x cos 7x dx

We know 2sinAcosB = sin(A + B) + sin(A – B)


∴ sin4xcos7x =


We know sin( – θ) = – sinθ


∴ sin( – 3x) = – sin3x


∴ The above equation becomes


⇒


⇒


We know


⇒


⇒ + c


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