摘要
通过二重积分、含参变量无穷积分、黎曼引理、傅立叶级数展开及复变函数中利用留数计算实积分integralfromn=0to+∞((sinx/x)dx)
The paper mainly uses double integral, integral depending on a paremeter, Riemann lemma, Fourier series expansion, and residue of complex variable function to calculate the real integral ∫0^∞sin x/x dx , and provides many proving methods.
关键词
含参变量无穷积分
收敛
绝对收敛
integral depending on a parameter
convergence
absolute convergence
