2014年12月18日 · The derivative of #cos^3(x)# is equal to: #-3cos^2(x)*sin(x)# You can get this result using the Chain Rule which is a formula for computing the derivative of the composition of two or more functions in the form: #f(g(x))# .

cos^3X的不定积分∫cos³xdx=sinx-1/3sin³x+C。 （C为积分常数）解答过程如下：∫cos³xdx=∫cos²xdsinx=∫（1-sin²x）dsinx=sinx-1/3sin³x+C扩展资料：同角三角函数的基本关系.

f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120) \lim _{x\to 0}(x\ln (x)) \int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx

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一楼的解答,舍近求远. ∫cos³xdx =∫cos²xcosxdx =∫cos²xdsinx =∫(1-sin²x)dsinx =∫dsinx - ∫sin²xdsinx = sinx - (1/3)sin³x + c

The derivative of cos^3x is equal to -3 cos 2 x sinx. We can calculate the derivative of cos^3x using the chain rule method, the power rule of differentiation, and the formula for the derivative of cosx.

Cos3x is a triple angle identity in trigonometry. It is a specific case of compound angles identity of the cosine function. Cos3x gives the value of cosine trigonometric function for triple angle. The expansion of cos3x can be derived using the angle addition identity of cosine and it includes the term cos cube x (cos^3x).

计算器使用以下方法对函数进行积分：替换、有理函数和分数、未定义系数、因式分解、线性分数无理性、部分积分、欧拉代换、微分二项式、模积分、积分函数、幂、三角、双曲 转换和分组。

2017年9月9日 · In this video, I work through the steps to solving the integral of cos^3(x) or [cos(x)]^3.Note that because cos(x) is a function of x, not a mere polynomial,...

2017年8月30日 · Use that $\cos 3x = 4\cos^3 x - 3\cos x$ to get: $$\int \cos^3 x \,dx = \frac{1}{4}\int\left(\cos 3x +3\cos x\right)\,dx$$ and the right side is easy to compute as $\frac{1}{12}\sin 3x +\frac{3}{4}\sin x$.