Integrate sin2x/sin 4x+cos 4x
NettetFind the solution of the integral I = ∫ sin 2 x sin 4 x + co s 4 x d x. Solution. Find the solution. I = ∫ sin 2 x sin 4 x + co s 4 x d x = ∫ 2 sin x cos x sin 4 x + co s 4 x d x ∵ sin … Nettet∫ sin 2 x cos 4 x d x = ∫ cos 4 x d x − ∫ cos 6 x d x. Then, we have cos 4 x = 3 + cos 4 x + 4 cos 2 x 8 and cos 6 x = 10 + cos 6 x + 6 cos 4 x + 15 cos 2 x 32. On completing the …
Integrate sin2x/sin 4x+cos 4x
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Nettet3. sep. 2016 · Explanation: Let I = ∫sin2xcos4xdx. We will use the following Identities to simplify the Integrand :-. [1]:2sin2θ = 1 −cos2θ,[2]:2cos2θ = 1 + cos2θ. [3]:2cosCcosD … NettetClick here👆to get an answer to your question ️ int0^ pi4 sinxcosxcos^4x + sin^4x dx. Solve Study Textbooks Guides. Join / Login >> Class 12 >> Maths ... ∫ 0 4 π cos 4 x + sin 4 x sin x cos x ... Integration using Substitution - II. 11 mins. Definite Integration by Parts. 16 mins. Shortcuts & Tips .
NettetLet I = `int_0^(pi/4) (sin2x)/(sin^4x + cos^4x)*dx` = `int_0^(pi/4) (2sinx cosx)/(sin^4x + cos^4x)*dx` Dividing each term by cos 4 x, we get. ... Chapter 4 Definite Integration Exercise 4.2 Q 2.03 Page 172. Question Bank with Solutions. Maharashtra Board Question Bank with Solutions (Official) Nettet30. sep. 2015 · Calculus Techniques of Integration Integration by Parts 1 Answer sakura · Stefan V. Sep 30, 2015 ∫sin4x ⋅ cos2xdx = 1 16 ⋅ (x − sin(4x) 4 − sin3(2x) 3) + c Explanation: ∫sin4x ⋅ cos2xdx = ∫(sin2x) ⋅ (sin2x ⋅ cos2x)dx = ∫( 1 2) ⋅ (1 − cos2x) ⋅ ( sin2x 2)2 dx We have cos2x = 1 − 2sin2x sin2x = 1 − cos2x 2 and sin2x = 2sinx ⋅ cosx The …
NettetClick here👆to get an answer to your question ️ Integrate: int1 sin^4x + cos^4x dx. Solve Study Textbooks Guides. Join / Login. Question . Integrate: ... ∫ sin 3 x cos 3 x d x. … Nettet2.计算下列定积分0( ∫_1^2(1/x+2)dx ( ∫_(-π)^π(sinx-cosx)dx(sin x-cos x)dx;4cos2xdx.0
Nettet29. des. 2024 · Evaluate ∫((sinx + cosx)/(cos^2x + sin^4x)) ... [0, π/4]. definite integration; jee; jee mains; Share It On Facebook Twitter Email. 1 Answer +1 vote . …
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