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  3. since we know that 15 sin x cos x dx has an odd po

Since We know that 15 sin x cos x dx has an odd power of...

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Calculus

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Since We know that 15 sin x cos x dx has an odd power of of cos x we will convert all but one power to sines cos x Step 2 Making this substitution using 15 sin x cos x dx gives us Step 3 15 sin x 1 sin x cos x dx 15 sin x cos x dx sin x Since cos x is the derivative of sin x then Step 4 With the substitution u sin x we get 15 0 which integrates to 15 sin x cos x dx 15 C 15 15 sin x cos x dx can be done by substituting u sin x u du Substituting back in to get the answer in terms of sin x we have 15 sin x cos x dx 15 sin x cos x C 15 sin r cos r dx sin r and du cos x cos x dx

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