query: How do I calculate the integral $\int^{\infty}_{0}\frac{\cos(ax)-\cos(bx)}{x}dx$ without residues?
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negative_passages.text: Integral of $ 1 \, / \, (1 + a \, \cos(x) )$
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negative_passages.text: Residue integral: $\int_{- \infty}^{+ \infty} \frac{e^{ax}}{1+e^x} dx$ with $0 \lt a \lt 1$.
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negative_passages.text: Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
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negative_passages.text: How to prove $\int_0^\infty e^{-x^2}cos(2bx) dx = \frac{\sqrt{\pi}}{2} e^{-b^2}$
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negative_passages.text: How do I prove $\int_{-\infty}^{\infty}{\cos(x+a)\over (x+b)^2+1}dx={\pi\over e}{\cos(a-b)}$?
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negative_passages.text: How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$?
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negative_passages.text: Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
negative_passages.docid: 79633
negative_passages.text: Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$
negative_passages.docid: 24358
negative_passages.text: Finding $\int \frac{dx}{a+b \cos x}$ without Weierstrass substitution.
negative_passages.docid: 177
negative_passages.text: How can I calculate $\int^{\infty}_{-\infty}\Phi\left(\frac{w-a}{b}\right)\phi(w)\,\mathrm dw$
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negative_passages.text: $\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
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negative_passages.text: I'm looking for several ways to prove that $\int_{0}^{\infty }\sin(x)x^mdx=\cos(\frac{\pi m}{2})\Gamma (m+1)$
negative_passages.docid: 51488
negative_passages.text: Evaluating $\int^\pi_{-\pi} \cos^3(x) \cos(ax)~dx$
negative_passages.docid: 95426
negative_passages.text: How to compute $ \frac{1}{\sqrt{2\pi}} \int_{-\infty}^\infty \frac{e^{-{x^2}/{2}}}{1+e^{-(ax+b)}}\,\mathrm dx $ when $b \ne 0$