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Please solve and kindly explain all steps 4. a. Discuss the convergence or divergence of the following integral 00 I lsinxl d x x2+x+1 0

Please solve and kindly explain all steps

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4. a. Discuss the convergence or divergence of the following integral 00 I lsinxl d x x2+x+1 0 b. Discuss the convergence and divergence of the following integral Vn E N f x 2 t/(xz + 3)\" Find the minimum n for which the integral converges and, for that value, calculate the integral. Evaluate the following integral using partial fractions. 1 f(x3x2x+1)(x2+1)dx

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