Question
15. Use the reduction formula for sinx to show that sinx dx = 1 sin-2x dx Use this result to derive the Wallis sine
15. Use the reduction formula for sin"x to show that sin"x dx = 1 sin"-2x dx Use this result to derive the Wallis sine formulas: 1.3.5 ... (n 1) n sin"x dx ; when n is even and n > 2 2.4.6 ... ..... T Si sin"x dx = 2.4.6..(n-1) ; when n is odd and n > 3. 3.5.7. .n Hence evaluate TT sin x dx 0.
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Calculus Early Transcendentals
Authors: James Stewart
7th edition
538497904, 978-0538497909
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