limx→∞(e(4x)−1−4xx2)\lim_{x\to\infty}\left(\frac{e^{\left(4x\right)}-1-4x}{x^2}\right)x→∞lim(x2e(4x)−1−4x)
cos(x)+sin(x)sin(x)cos(x)tan(x)=csc(x)\frac{\cos\left(x\right)+\frac{\sin\left(x\right)\sin\left(x\right)}{\cos\left(x\right)}}{\tan\left(x\right)}=\csc\left(x\right)tan(x)cos(x)+cos(x)sin(x)sin(x)=csc(x)
log(x23)=log(5x)\log\left(\frac{x^2}{3}\right)=\log\left(5x\right)log(3x2)=log(5x)
(320+389)+(798−84)\left(320+389\right)+\left(798-84\right)(320+389)+(798−84)
dydx=4(x)2−3\frac{dy}{dx}=4\left(x\right)^2-3dxdy=4(x)2−3
120:15120:15120:15
∫x3ex2dx\int\frac{x^3}{e^{x^2}}dx∫ex2x3dx
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