Forum category
Integrals
One integral per thread, and the method is the point. Several answer forms can all be right; show how you got there.
Threads
2 threads
Cosine over Exponential - $\displaystyle \int_{-\pi/2}^{\pi/2} \frac{\cos x}{1+2^x}\ \mathrm{d}x$
$$ \begin{align*} I &= \int_{-\pi/2}^{\pi/2} \frac{\cos x}{1+2^x}\ \mathrm{d}x \\ &= \int_{-\pi/2}^{\pi/2} \frac{\cos (-x)}{1+2^{-x}}\ \mathrm{d}x\qquad \color{blue}{\text{[King's
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Classic Feynman's Tick - $\int_0^1 \frac{x^{2026}-1}{\ln x}\ \mathrm{d}x$
\textbf{Problem}: $\displaystyle \int_0^1 \frac{x^{2026}-1}{\ln x}\ \mathrm{d}x$ \textbf{Solution}: We consider the general integral parametrized in $\alpha\neq -1$: $ \displaystyl
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