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$f(x) = 5x^2 + 2x + 1$

$\frac{d}{dx} f(x) = 10x + 2$

$\int f(x) dx = \frac{5}{3}x^3 + x^2 + x + C$

$\lim\_{x \to \infty} f(x) = \infty$

$\lim\_{x \to -\infty} f(x) = \infty$

$\lim\_{x \to 0} f(x) = 1$

$\lim\_{x \to 1} f(x) = 8$

$\lim\_{x \to 2} f(x) = 25$

$\lim\_{x \to 3} f(x) = 52$

$\lim\_{x \to 4} f(x) = 85$

$\lim\_{x \to 5} f(x) = 124$

$\lim\_{x \to 6} f(x) = 169$

$\lim\_{x \to 7} f(x) = 220$

$\lim\_{x \to 8} f(x) = 277$

$\lim\_{x \to 9} f(x) = 340$

$\lim\_{x \to 10} f(x) = 409$

$\lim\_{x \to 11} f(x) = 484$

$\lim\_{x \to 12} f(x) = 565$

$\lim\_{x \to 13} f(x) = 652$

$\lim\_{x \to 14} f(x) = 745$

$\lim\_{x \to 15} f(x) = 844$

$\lim\_{x \to 16} f(x) = 949$

$\lim\_{x \to 17} f(x) = 1060$

$\lim\_{x \to 18} f(x) = 1177$

$\lim\_{x \to 19} f(x) = 1300$

$\lim\_{x \to 20} f(x) = 1429$

$\lim\_{x \to 21} f(x) = 1564$

$\lim\_{x \to 22} f(x) = 1705$

$\lim\_{x \to 23} f(x) = 1852$

$\lim\_{x \to 24} f(x) = 2005$

$\lim\_{x \to 25} f(x) = 2164$

$\lim\_{x \to 26} f(x) = 2329$

$\lim\_{x \to 27} f(x) = 2499$

$\lim\_{x \to 28} f(x) = 2675$

$\lim\_{x \to 29} f(x) = 2857$

$\lim\_{x \to 30} f(x) = 3045$

$\lim\_{x \to 31} f(x) = 3239$

$\lim\_{x \to 32} f(x) = 3439$

$\lim\_{x \to 33} f(x) = 3645$

$\lim\_{x \to 34} f(x) = 3857$

$\lim\_{x \to 35} f(x) = 4075$

$\lim\_{x \to 36} f(x) = 4299$

$\lim\_{x \to 37} f(x) = 4529$

$\lim\_{x \to 38} f(x) = 4765$

$\lim\_{x \to 39} f(x) = 5007$

$\lim\_{x \to 40} f(x) = 5255$

$\lim\_{x \to 41} f(x) = 5509$

$\lim\_{x \to 42} f(x) = 5769$

$\lim\_{x \to 43} f(x) = 6035$

$\lim\_{x \to 44} f(x) = 6307$

$\lim\_{x \to 45} f(x) = 6585$

$\lim\_{x \to 46} f(x) = 6869$

$\lim\_{x \to 47} f(x) = 7159$

$\lim\_{x \to 48} f(x) = 7455$

$\lim\_{x \to 49} f(x) = 7757$

$\lim\_{x \to 50} f(x) = 8065$

$\lim\_{x \to 51} f(x) = 8379$

$\lim\_{x \to 52} f(x) = 8699$

$\lim\_{x \to 53} f(x) = 9025$

$\lim\_{x \to 54} f(x) = 9357$

$\lim\_{x \to 55} f(x) = 9695$

$\lim\_{x \to 56} f(x) = 10039$

$\lim\_{x \to 57} f(x) = 10389$

$\lim\_{x \to 58} f(x) = 10745$

$\lim\_{x \to 59} f(x) = 11107$

$\lim\_{x \to 60} f(x) = 11475$

$\lim\_{x \to 61} f(x) = 11849$

$\lim\_{x \to 62} f(x) = 12229$

$\lim\_{x \to 63} f(x) = 12615$

$\lim\_{x \to 64} f(x) = 13007$

$\lim\_{x \to 65} f(x) = 13405$

$\lim\_{x \to 66} f(x) = 13809$

$\lim\_{x \to 67} f(x) = 14219$

$\lim\_{x \to 68} f(x) = 14635$

$\lim\_{x \to 69} f(x) = 15057$

$\lim\_{x \to 70} f(x) = 15485$

$\lim\_{x \to 71} f(x) = 15919$

$\lim\_{x \to 72} f(x) = 16359$

$\lim\_{x \to 73} f(x) = 16805$

$\lim\_{x \to 74} f(x) = 17257$

$\lim\_{x \to 75} f(x) = 17715$

$\lim\_{x \to 76} f(x) = 18179$