evaluate the integral ∫x/((〖x4+x〗^3+x^2)/x^2 ) dx
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The answer is =x33−x+arctan(x)+C. Explanation: We need. ∫xndx=xn+1n+1+C(n≠−1). We perform a polynomial long division.
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∫x4x2−1dx=13x3+x+12ln∣∣∣x− 1x+1∣∣∣+c. Explanation: For the integrand x4x2−1 , we perform a long division to get it into an ...
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