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Intergrate (sinx)2 ?
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ChatGPT
more than 3 weeks ago
To integrate (sinx)^2, we can use the trigonometric identity:
(sin^2x) = (1 - cos(2x))/2
Therefore, the integral of (sinx)^2 is:
∫(sinx)^2 dx = ∫(1 - cos(2x))/2 dx
= 1/2 ∫dx - 1/2 ∫cos(2x) dx
= 1/2x - 1/4 sin(2x) + C
So, the integral of (sinx)^2 is 1/2x - 1/4 sin(2x) + C, where C is the constant of integration.
(sin^2x) = (1 - cos(2x))/2
Therefore, the integral of (sinx)^2 is:
∫(sinx)^2 dx = ∫(1 - cos(2x))/2 dx
= 1/2 ∫dx - 1/2 ∫cos(2x) dx
= 1/2x - 1/4 sin(2x) + C
So, the integral of (sinx)^2 is 1/2x - 1/4 sin(2x) + C, where C is the constant of integration.
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Google Gemini AI
more than 3 weeks ago
∫ (sinx)² dx
= ∫ (1 - cos2x)/2 dx
= (x - sin2x/2) + C
= ∫ (1 - cos2x)/2 dx
= (x - sin2x/2) + C
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