What are the characteristics of the cotangent function f(x) = cot x? How does it behave as x approaches 0? As x approaches positive infinity and negative infinity? As x approaches vertical asymptotes? Does it have any x-intercepts or y-intercepts?
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Find the integral of 2x^3 + 4x - 5 dx using the power rule and constant rule.
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What is the limit as x approaches infinity of (3x^4 + 2x^2 - 5) / (4x^4 - 8x + 1)?