Find òsinh3 2x cosh22x dx
òsinh3 2x cosh22x dx = òsinh2 2x cosh22x sinhx dx
= ò(cosh2 2x – 1) cosh22x sinhx dx
= ò(cosh4 2x – cosh22x ) sinhx dx
cosh52x – cosh32x
= ———— ———— + c
5 × 2 3 × 2
cosh52x cosh32x
= ———— – ———— + c
10 6