Integrals
∫xx−8x−2−6+12x−1 dx\int x\sqrt{x-8x^{-2}-6+12x^{-1}}\ dx

chummy

2024 December 10

(∫π−12π−112(1−cos⁡(π2))sin⁡(x+12) dx)2−12∫π−1−π−1cos⁡(x+12) dx\left(\int_{\pi-1}^{2\pi-1}\frac{1}{2}\left(1-\cos\left(\frac{\pi}{2}\right)\right)\sin\left(\frac{x+1}{2}\right)\ dx\right)^{2}-\frac{1}{2}\int_{\pi-1}^{-\pi-1}\cos\left(\frac{x+1}{2}\right)\ dx

2024 December 8

∫  x3x4−6x2+5dx\int_{\ }^{\ }\frac{x^{3}}{x^{4}-6x^{2}+5}dx

counting

2024 December

∫(1−2x−1−3x−2)−2 dx\int \left(1-2x^{-1}-3x^{-2}\right)^{-2}\ dx

workable

2024 December 13

∫1+x−1cot⁡x−1xln⁡(x−1sin⁡(x−1)) dx\int \frac{1+x^{-1}\cot x^{-1}}{x\ln\left(x^{-1}\sin\left(x^{-1}\right)\right)}\ dx

blink

2024 December 9

∫1+xx2+ln⁡(xx) dx\int \frac{1+x}{x^{2}+\ln\left(x^{x}\right)}\ dx

quotable

2024 December 10

∫ln⁡(4x−12+9x−1) dx\int \ln\left(4x-12+9x^{-1}\right)\ dx

weird

2024 December

∫11−x−2ln⁡(x−1) dx+∫11−x−2ln⁡(x+1) dx\int \frac{1}{\sqrt{1-x^{-2}}}\ln\left(x-1\right)\ dx+\int \frac{1}{\sqrt{1-x^{-2}}}\ln\left(x+1\right)\ dx

lawful evil

2024 December 9

∫6x2−14x+12−x3x−2 dx\int \frac{6x^{2}-14x+12-x^{3}}{x-2}\ dx

2024 December

∫1+1+ex dx\int \sqrt{1+\sqrt{1+e^{x}}}\ dx

monster

2024 December

∫−x+x2−4ex2π dx\int \frac{-x+\sqrt{x^{2}-4ex}}{2\pi}\ dx

déjà vu

2024 December 13