Exercise
$\int_{0\:}^{8\:}\frac{1}{8}\left(x^4sin\left(7x\right)\right)dx$
Step-by-step Solution
Final answer to the exercise
$\left(8^4\cdot -\frac{1}{7}\cos\left(7\cdot 8\right)+\frac{4}{49}\cdot 8^{3}\sin\left(7\cdot 8\right)+\frac{12}{343}\cdot 8^{2}\cos\left(7\cdot 8\right)+8\left(-\frac{24}{2401}\right)\sin\left(7\cdot 8\right)-\frac{24}{16807}\cos\left(7\cdot 8\right)-\left(0^4\cdot -\frac{1}{7}\cos\left(7\cdot 0\right)+\frac{4}{49}\cdot 0^{3}\sin\left(7\cdot 0\right)+\frac{12}{343}\cdot 0^{2}\cos\left(7\cdot 0\right)+0\left(-\frac{24}{2401}\right)\sin\left(7\cdot 0\right)-\frac{24}{16807}\cos\left(7\cdot 0\right)\right)\right)\frac{1}{8}$