3x = pi - (pi/2 - 3x) = pi/2 + 3x. Evaluate the integral (sin(x))^5 (cos(x))^3dx from pi/2 to 3pi/4? How do you integrate cos^5 (x) ... All 3 of these answers end up with ... . Best Answer: The final expression is not unique. Discover the question loads of students forget to ask before choosing their Proof. Then dU= -4 sin(x) cos^3x dx and V= sinx. Free Online Integral Calculator allows you to solve definite and indefinite integration problems. sin ^3 x cos ^3 x = 1/8 ( 2sin x cos x)^3 ... to integrate sin 2x cos ^2 2x put cos 2x = t then 2 sin 2x dx = dt we get t^2 dt/2 integrating we get t^3/6 b. Follow . 3 cos 3x 2 5 cos 5x 1 7 cos 7x C u 3 3 2 u5 5 u7 7 C y 1 u2 2u2 du y u2 2u4 u6 du y 1 cos2x 2 cos2x sin x dx y sin5x cos2x dx y sin2x 2 cos2x sin x dx u cos x du sin x dx sin5x cos2x sin2x 2 cos2x sin x 1 cos2x 2 cos2x sin x sin4x cos x sin x cos x cos2x 1 sin2x y sin5x cos2x dx sin2x cos2x 1 sin x 1 3 sin 3x C 1 y 1 u2 du u 3 u 3 C y cos3x dx y Both are correct answers. Watch. Announcements. No pi/2 to 0 . Solve sin 3x = cos 3x Answer: x = pi/12 + Kpi/3 Use the complementary arcs relationship: cos x = sin (pi/2 - x) sin 3x = sin (pi/2 - 3x) a. Get the answer to Integral of sin(x)^3/cos(x) with the Cymath math problem solver - a free math equation solver and math solving app for calculus and algebra. 206 Chapter 10 Techniques of Integration This type of substitution is usually indicated when the function you wish to integrate contains a polynomial expression that might allow you to use the fundamental identity sin2 x+cos2 x = 1 in one of three forms: cos2 x = 1sin2 x sec2 x = 1+tan2 x tan2 x = sec2 x 1. Picking random values won't work - because there is an "integration constant" - which could be different for different procedures. Look at ... [sin(5x+2x) +sin(5x-2x)] ... Give the exact value of Integral dx/[4 sin x - 3 cos x] from -pi/2 to pi/2.? I suppose it doesnt matter, same area covered. integral from pi/2 to 0 sin^5x dxBackwards? Evaluate the integral sin^5 x cos^4 x dx from x=pi/2 to ... solution on YOUR website! 3x = pi/2 - 3x + 2Kpi -> 6x = pi/2 +2Kpi -> x = pi/12 + Kpi/3 Within interval (0,2pi) there are 6 answers: pi/12; (5pi)/12; (9pi)/12; (13pi)/12; (17pi)/12; and (21pi)/12. How to integrate sin^3 x cos x dx? O.o not 0 to pi/2?. How do I integrate sin(x) ... What do I do once ive found the integral? Section Solution from a resource entitled Can we sketch $y=3 \cos x - \cos 3x$?.