1., sin x cos x + a) Derive the formula 1 = [sinx dx = --...

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1., sin" x cos x + a) Derive the formula 1 = [sin"x dx = -- n fsin" 2 x dx where neN* b) Use the result from part a) and J₁ = [cos"x dx = -cos¹ x sinx+cos²x dx to n n find: 1₂ = [ sin²x dx and I₁ = [sin³x dx J₂ = [ cos²x dx and J₁ = cos¹x dx n 1., sin" x cos x + a) Derive the formula 1 = [sin"x dx = -- n fsin" 2 x dx where neN* b) Use the result from part a) and J₁ = [cos"x dx = -cos¹ x sinx+cos²x dx to n n find: 1₂ = [ sin²x dx and I₁ = [sin³x dx J₂ = [ cos²x dx and J₁ = cos¹x dx n

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a To derive the formula we use integration by parts with u sinn1 x and dv sin x dx Then du n1sinn2 x ... View the full answer