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

Last updated: 7/4/2023

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