In trigonometry, a unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system. In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. cos(2x) / - 2 0, pi/2 [ cos2(pi/2) / ... Definite Integral Question: (sin2x)dx from 0 to pi/2? ... +dx+from+0+to+pi/2) is the integral I am trying to evaluate. : ... $$2I=\int_0^{\pi/2} ((\cos^2x)^3+(\sin^2x)^3) \, dx$$ Sin squared is 1 minus cos 2x over 2. ... so this is the integral from 0 to pi of 1 fourth . Definite integral: Step-by-step solution; Indefinite integral: Step-by-step solution; Contact Pro Premium Expert Support. Viewing environment: Mobile | Standard. Pro; Integrate 0 to pi/2, 1/(a^2cos^2x + b^2sin^2x) ^2. 7 Follow 0. EXPERT ANSWER. i) Dividing numerator and denominator by cosx, the expression reduces to: dx/(1 + 4tanx) ii) Let tan(x) = y; differentiating, secx dx = dy Question: Evaluate integral [0,pi()] ((sin^2(x)*cos^2(x)) dx) ... Get this answer with Chegg Study View this answer. OR. Find your book. Find your book. name : kris i am a student secondary 10-12 or 11th. how to solve the equation cos 2x = sin x for 0<= x < 360. please solve it thank you . Best Answer: first you need to know trig properties. cos^2 = 1/2*cos(2x) + 1/2 now integral (1/2*cos(2x)+1/2), you can factor out a 1/2 Definite integral: Step-by-step solution; Indefinite integral: Step-by-step solution; Contact Pro Premium Expert Support. Viewing environment: Mobile | Standard. Pro; Hi, Could someone help with this problem? I don't even know where to start. Question from Wanda, a parent: Integral or Area of cos^2 X between pi/2 and 0. The answer that I got is -pi/4. Is this correct? What is the integral of cos2x, between 0 and Pi/2.? I'm currently writing a program which approximates integrals. The answer is -1/2 but I need to see the steps to get the answer. Thank you. What is the integral of cos2x, between 0 and Pi/2.? I'm currently writing a program which approximates integrals. I need this definite Definite integral: Step-by-step solution; Indefinite integral: Step-by-step solution; Contact Pro Premium Expert Support. Viewing environment: Mobile | Standard. Pro; Best Answer: first you need to know trig properties. cos^2 = 1/2*cos(2x) + 1/2 now integral (1/2*cos(2x)+1/2), you can factor out a 1/2 The answer is -1/2 but I need to see the steps to get the answer. Thank you. Be part of the discussion and get useful help and advice on the TSR forums: How do I integrate sin(x)cos^2(x) Series expansion of the integral at x=0: Definite integral over a half-period: More digits; Definite integral mean square: Contact Pro Premium Expert Support. Answer to integral^pi _0 integral^pi/2 _0 sin(2x) cos(5y) dy dx... ... Get this answer with Chegg Study View this answer Integrate from 0 to pi/2 sin^n x ... Wolfram Alpha gives most of the details to get to an indefinite integral of (1/2){ x ... x - (1/4)sin(2x). just for checking u doin integral for [0 to pi/2] or [-pi/2 to pi/2]? anonymous 5 years ago. The integral of cos(2x) is 1/2 x sin(2x) + C, where C is equal to a constant. Integrate [sinx/(1+cos^2(x))] from pi/2 to pi. maths integrate -sinx/ 4+cos^2x dx