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Tính

1. \(\displaystyle\int \dfrac{2x+3}{(x+1)(x+2)} \mathrm{d}x\)
2. \(\displaystyle\int \dfrac{x}{(x+1)(2x+1)} \mathrm{d}x\)
3. \(\displaystyle\int \dfrac{1}{x^2+3x} \mathrm{d}x\)
4. \(\displaystyle\int \dfrac{1}{x^2-4} \mathrm{d}x\)
5. \(\displaystyle\int \dfrac{2x}{x^2-4} \mathrm{d}x\)
6. \(\displaystyle\int \dfrac{3x+1}{x^2+4x+3} \mathrm{d}x\)
7. \(\displaystyle\int \dfrac{x}{x^2+2x+1} \mathrm{d}x\)
8. \(\displaystyle\int \dfrac{x}{4x^2+4x+1} \mathrm{d}x\)

Công thức lượng giác cơ bản

• \(\tan x=\dfrac{\sin x}{\cos x}\)
• \(\cot x=\dfrac{\cos x}{\sin x}\)
• \(\cos^2x=1-\sin^2x\)
• \(\sin^2x=1-\cos^2x\)
• \(\tan^2x = \dfrac{1}{\cos^2x}-1\)
• \(\cot^2x = \dfrac{1}{\sin^2x}-1\)

Công thức hạ bậc

• \(\sin^2x=\dfrac{1-\cos 2x}{2}\)
• \(\cos^2x=\dfrac{1+\cos 2x}{2}\)

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