Sin X b. Let u cosx du sinxdx. Integral Of Sin X Formula Proof Examples L Integration Of Sin X Rewrite sin ºxas 1 - cos2x sin x then use the substitution u cos x. . Rewrite sin 3x as 1 - cos2x sin x then use the substitution u sin x. For fun I have done more on my first solution and. For the first integral. Displaystyle int sec 3xdx frac 1 2 sec xtan xln leftsec xtan xrightC There are a number of reasons why this particular antiderivative is worthy of special attention. Sin3 x 3 sin x - sin 3x4. Therefore the required integral. Using the formula for integration by parts we have. In the first step we are going to split Sec³ x as sec x Sec² x. Up to 25 cash back a ucos x-sin x dx du Int sin x cos x dx Int -u du -12 u2 -12cos2 x C b u sin x cos x dx du Int sin x cos x dx Int u du 12u2 12sin2 x C c Int sin x cos x dx Int sin 2x2 12-12cos 2x -14cos 2x C d Take u sin x and dv cos x Int sin x cos x dx sin x sin x...
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