Calculating an integral without using the Cauchy Integral Formula
109639
complex integration, how to evaluate it?
154067
Not sure how to go about solving this integral
15888
How to calculate limit without L'Hopital
116044
Can one prove $\int f > 0$ for $f > 0$ without Lebesgue integration?
112868
calculate an integration by using residue theorem
126576
Most efficient way to integrate $\int_0^\pi \sqrt{4\sin^2 x - 4\sin x + 1}\,dx$?
31587
Finding a difficult integral
67655
Simpler way to compute a definite integral without resorting to partial fractions?
77834
Is it possible to compute $\int_{-\infty}^\infty {x \sin x\over x^4+1}dx$ without using complex analysis?
62109
$\int_{-\infty}^{\infty} \frac{\cos(αx)}{(x^2+1)(x^2+4)} \mathrm dx$ using Complex methods
1366
Complex Analysis: Complex Integral
103164
Calculate Integral using residue theorem
68319
How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
106587
Calculation of an integral with a Bessel function
101587
Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
44681
Inverse of a function's integral
135813
Soving a Complex Integral along a circle