The indefinite integral of sin 2x is
-cos 2x / 2 + C, where C is any constant.
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sin2x + c
sin2X = sin2X What is it about ' equation ' you do you not understand. Of course they are equal!
(1 - tan2x)/(1 + tan2x) = (1 - sin2x/cos2x)/(1 + sin2x/cos2x) = (cos2x - sin2x)/(cos2x + sin2x) = (cos2x - sin2x)/1 = (cos2x - sin2x) = cos(2x)
sin2x because sin2x + cos2x = 1
The Web site integrals.wolfram.com gives the following:integral of sin2x/x = (1/2) (log x - Ci(2 x))Ci is the cosine integral, a special function. Look at the site for a more detailed description.What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.The Web site integrals.wolfram.com gives the following:integral of sin2x/x = (1/2) (log x - Ci(2 x))Ci is the cosine integral, a special function. Look at the site for a more detailed description.What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.The Web site integrals.wolfram.com gives the following:integral of sin2x/x = (1/2) (log x - Ci(2 x))Ci is the cosine integral, a special function. Look at the site for a more detailed description.What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.The Web site integrals.wolfram.com gives the following:integral of sin2x/x = (1/2) (log x - Ci(2 x))Ci is the cosine integral, a special function. Look at the site for a more detailed description.What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.