Tính tích phân $\int_0^{\pi/2} (\sin(x) + x) dx$.
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cho 0 a pi/2 khẳng định nào sau đây đúng
- Tính tích phân $\int_0^{\pi/2} \frac{1}{\sin^2(x) + \cos^2(x)} dx$.
- Tính giới hạn $\lim_{x \to 0^+} \frac{\sin(x^2)}{x}$. Cho hàm số $f(x) = \csc^2(x)$ trên khoảng $(0, \pi/2)$, đạo hàm của $f(x)$ là gì?
- Tính giới hạn $\lim_{x \to 0^+} \frac{\sin(3x)}{\sin(x)}$. Cho hàm số $f(x) = \cos^2(x)$ trên khoảng $(0, \pi/2)$, đạo hàm của $f(x)$ là gì?
- Tính giới hạn $\lim_{x \to 0^+} \frac{1 - e^{-x}}{x}$. Cho hàm số $f(x) = \ln(\tan(x/2))$ trên khoảng $(0, \pi/2)$, đạo hàm của $f(x)$ là gì?
- $ trên $[0, \pi/2]$.
- Hàm số $f(x) = \ln(x + 1)$ có liên tục trên $[0, \pi/2]$ không?
- Tính tích phân $\int_0^{\pi/2} (\arctan(x) + \ln(x + 1)) dx$.
- x - \pi/4
- --- Cho hàm số $f(x) = \sin(x) + \cos(x)$ trên khoảng $(0, \pi/2)$, đạo hàm của $f(x)$ là gì?
- Tính tích phân $\int_0^{\pi/2} \frac{1}{\sin^2(x)} dx$.
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