Web设随机变量x服从正态分布，其数学期望为10，x在区间（10,20）发生的概率等于0.3。 则X在区间（0,10）的概率为（ ） 根据其赖以存在的条件，事先准确地断定它们未来的结果，称之为 WebApr 13, 2024 · ∫sin^4x cos^2x dx = (1/2)sin^2x cos^2x - (3/16)sin^4x + (9/16)sin^2x + (1/16)sin^4x + C = (1/2)sin^2x cos^2x + (5/16)sin^2x + (1/16)sin^4x + C. Substitution Method: The substitution method is a powerful technique used in calculus to simplify integrals by replacing the variable with a new expression. To solve integrals of the form …

How do you differentiate f(x)=cos^2x? Socratic

WebSolution: To find the integral of sin^2x, we will use its formula sin^2x = (1 - cos2x)/2 to simplify the problem. ∫ sin^2x dx = ∫ [ (1-cos2x)/2] dx = (1/2) ∫dx - (1/2) ∫cos2x dx = x/2 - (1/4) sin2x + C [Because the integral of cos2x is (1/2) sin2x] Answer: The integral of sin^2x is x/2 - (1/4) sin2x + C. Sin2x Practice Questions WebMay 7, 2024 · Explanation: Given: esin2x. Apply the chain rule, which states that, dy dx = dy du ⋅ du dx Let u = sin2x, then we must find du dx. Again, use the chain rule. Let z = 2x, ∴ dz dx = 2. Then y = sinz, dy dz = cosz. Combine to get: cosz ⋅ 2 = 2cosz. Substitute back z = 2x to get: = 2cos(2x) Now, we go back to the original derivative. outside directorship meaning

If f (x) = sin 2x - cos 2x, find f

WebIf f(x)= sin 2x+cos 4xcos 2x+sin 4x for x∈R then f(2002) is equal to A 1 B 2 C 3 D 4 Medium Solution Verified by Toppr Correct option is A) Formula:- sin 2x+cos 2x=1 f(x)= sin … WebFree math problem solver answers your trigonometry homework questions with step-by-step explanations. WebAug 23, 2015 · Given answer: $$4x\cos(2x^2) – 4x\sin(8x^2) \sin(2x^2)$$ I tried and I'm getting the answer as $\cos(2x^2) - \sin(8x^2)\... Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build … outside director liability across countries