a.
\(\int\left(5x^4-3x^3+2x^2-x+100\right)dx=x^5-\dfrac{3}{4}x^4+\dfrac{2}{3}x^3-\dfrac{1}{2}x^2+100x+C\)
b.
\(\int\dfrac{2x^4-x^3+5x^2-7x+1}{2x}dx=\int\left(x^3-\dfrac{1}{2}x^2+\dfrac{5}{2}x-7+\dfrac{1}{2x}\right)dx\)
\(=\dfrac{1}{4}x^4-\dfrac{1}{6}x^3+\dfrac{5}{4}x^2-7x+\dfrac{1}{2}ln\left|x\right|+C\)
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