Exercício
$\int\cos^7\left(2x\right).\sin^6\left(2x\right)dx$
Solução explicada passo a passo
Resposta final para o problema
$\frac{-\sin\left(2x\right)^{5}\cos\left(2x\right)^{8}}{26}+\frac{15\cos\left(2x\right)^{6}\sin\left(2x\right)}{2002}+\frac{9}{1001}\cos\left(2x\right)^{4}\sin\left(2x\right)+\frac{12}{1001}\cos\left(2x\right)^{2}\sin\left(2x\right)+\frac{24}{1001}\sin\left(2x\right)-\frac{5}{858}\cos\left(2x\right)^{8}\sin\left(2x\right)+\frac{20\sin\left(2x\right)^{7}}{3003}-\frac{4}{143}\sin\left(2x\right)^{5}+\frac{20\sin\left(2x\right)^{3}}{429}-\frac{20}{429}\sin\left(2x\right)+\frac{-5\sin\left(2x\right)^{3}\cos\left(2x\right)^{8}}{286}+C_0$