4sin2xcos2x=(2sinxcosx)2=sin22xThus, we have:I=14∫sin22xdx Step 3: Use the Identity for sin2We can express sin22x in terms of cosine:sin22x=1−cos4x2Now substituting this back into the integral:I=14∫1−cos4x2dx=18∫(1−cos4x)dx Step 4: Split the IntegralNow we can...
int x*sin2x*cos2x*dx 04:32 Evaluate: int(cos2x+x+1)/(x^2+sin2x+2x)dx 02:39 Solve int(cos4x-cos2x)/(sin4x-sin2x)dx 03:36 int (sin2x+2)/(sin2x+cos2x+1) dx 08:44 int(sin2x)/(3-2 cos2x)dx 02:26 int(1)/(cos2x+sin2x)dx= 05:32 int(sin2x)/((1-cos2x)(2-co...
三角输入 微积分输入 矩阵输入 cos(x)2−sin(x)2 求值 cos(2x) 关于x 的微分 −2sin(2x) 图表 测验 Trigonometry cos2x−sin2x 共享 复制 已复制到剪贴板 示例 二次方程式 x2−4x−5=0 三角学 4sinθcosθ=2sinθ 线性方程 y=3x+4 ...
Solve cos2x - sinx = 1 Solve cos(2x) - sin(x) = 0 Solve for x. sinx = 1/2 Solve for x. tanx+cosx=sinx Solve for principal values of x in sin(2x) - 1 = 0. Solve the equation: sin(2x) - sin(x) = 0 on the interval [0, 2pi]. Solve the DE. y y' = e^(y^2)...
Here,Crefers to the constant of Integration. Answer and Explanation:1 I=∫sinx+cosxsin2xdx {eq}I=\displaystyle \int \dfrac {\sin x+\cos x}{2\sin x\cos x}... Learn more about this topic: Integration Problems in Calculus | Examples & Solutions ...
(sinx)y′+(cosx)y=cos2x Product Rule in Differentiation Consider a differentiable function f(x) that can be expressed as a product of two differentiable functions g(x) and h(x): f(x)=g(x)h(x) The derivative of f(x) can be written using the Product ...
seen (b) Use identity sin2x=2sinxcosx State or imply cotx+2cosexx=(cosx)/(sinx)+2/(sinx) Attempt to express integrand in terms of cos2x and cosx Obtain correct integrand 1+cos2x + 4cosx Integrate to obtain at least terms k, sin 2x and k sin x Obtain correctx+1/2sin2x+4s...
Describe the function transformation of f(x) = cos (x) that results in g(x) = cos (2 x) and explain how you can use this transformation to find the period of g(x). The functions f(x) and g(x) are given as. The functions f(x) and g(x) are given below. ...
Simx-Sm's 1+Sinx(1+sinx)(1—Sin)1—Sm2 Sims-I tcos's =secotans-secst) cos s √ 0 piestans-ses i an =ec-tan6+=(-1+)-(1-0+0) =1/4π+√2-2(i)secx=1/cosx oe seen anywhereMultiply top and bottom by1- sinxObtain correct unsimplified expressionWrite denominator a...
lim_(x→0)(xcosxcos^2,0+x+2+⋯+∞):sin⋯sinx+cosx+cos^2x+cos+2⋅cos+x⋅cosxDirections;Transtate the following sentences into English,using the words given in the brackets. 4.毫无疑问,就质量、品种、可靠性而言,我们的产品在全世界排名靠前.(in terms of) 相关知识点: ...