∫(x211+x2)dx\int\left(x^2\frac{1}{\sqrt{1+x^2}}\right)dx∫(x21+x21)dx
6x38x−42x2\frac{6x^38x-4}{2x^2}2x26x38x−4
limx→1(x−1−ln(x)ln(x)x−1)\lim_{x\to1}\left(\frac{x-1-\ln\left(x\right)}{\ln\left(x\right)x-1}\right)x→1lim(ln(x)x−1x−1−ln(x))
limx→−∞(x + x3+ x55−x2+x4)\lim_{x\to-\infty}\left(\frac{x\:+\:x^3+\:x^5}{5-x^2+x^4}\right)x→−∞lim(5−x2+x4x+x3+x5)
b−b−bb-b-bb−b−b
−8x−30=−12x−58-8x-30=-12x-58−8x−30=−12x−58
2e−xsin (x2)−e−xcos (x2)4=e−xcos(x2)\frac{2e^{-x}\sin\:\left(\frac{x}{2}\right)-e^{-x}\cos\:\left(\frac{x}{2}\right)}{4}=e^{-x}cos\left(\frac{x}{2}\right)42e−xsin(2x)−e−xcos(2x)=e−xcos(2x)
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