reduction formula for trigonometric function
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(1) Odd > 0 Any Substitution u = cos x, du = −sin xdx. Use sin2 x = 1 − cos2 x to transform sine to cosine. (2) Any Odd > 0 Substitution u = sin x, du = cos xdx. ... Then use reduction formula ∫ cosn xdx. (4) Any Even ≥ 0 Use cos2 x = 1 − sin2 x to transform all cosine to sine. Then use reduction formula ∫ sinn xdx.
Hope this helps you mate..
(1) Odd > 0 Any Substitution u = cos x, du = −sin xdx. Use sin2 x = 1 − cos2 x to transform sine to cosine. (2) Any Odd > 0 Substitution u = sin x, du = cos xdx. ... Then use reduction formula ∫ cosn xdx. (4) Any Even ≥ 0 Use cos2 x = 1 − sin2 x to transform all cosine to sine. Then use reduction formula ∫ sinn xdx.
Hope this helps you mate..
ranjita7809:
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Reduction formula (EHMBHJ) ..... Use reduction formulae to write the trigonometric functions values in terms of acute angles and theta
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