∫ cos(pi/x^5)/x^6=?

问题描述:

∫ cos(pi/x^5)/x^6=?

∫ cos(π/x^5)dx/x^6
=-1/5*∫ cos(π/x^5)d(1/x^5)
=-1/(5π)∫ cos(π/x^5)d(π/x^5)
=-1/(5π)∫dsin(π/x^5)
=-sin(π/x^5)/(5π)+C


∫cos(π/x^5)/x^6dx
=-1/(5π)·∫cos(π/x^5)d(π/x^5)
=-1/(5π)·sin(π/x^5)+C