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Evaluate the Integral (x^3 -2x^2 + x +1)/(x^4 + 5x^2 +4) dx. Partial Fraction Decomposition

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Evaluate the Integral x^3(2+ x^4)^5 dx with u substitution u = 2 + x^4

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Find the integral (4x-3)/(2x^2 - 3x +1) dx without using techniques of partial fractions

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Simplify the Expression with Exponents (-3x^2y^3)^2/(-2xy^4)^3

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