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Answer all questions Q.21. Evaluate S 10 (x-1)(x2+9) Q22. Construct the reduction for J sin x dx and use it to evaluate J sin x

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Answer all questions

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Q.21. Evaluate S 10 (x-1)(x2+9) Q22. Construct the reduction for J sin" x dx and use it to evaluate J sin x dx. Q23. Given y1/m + y-1/m = 2x, show that (x2 - 1) yn+2 + (2n + 1)xyn+1 + (n2 - m?) yn = 0. Q24.(a). Use the inverse function theorem to find the derivative g (x) = tan -1x2. Q24.(b). Find the derivative of the inverse function of y = x- + 2x + 1

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