# 3x Integral

Calculus Level 5

$\mathbb{A} = \int_{0}^{1} 2x^3 \cos(x^2) \partial x + \int_{4}^{5} \dfrac{y+5}{y^2+y-2} \: \partial y$

The above definite integral $$\mathbb{A}$$ has a real value of $$\log\left ( \dfrac{a}{b} \right ) + \sin(c) + \cos(d) + f$$, where $$a,b,c,d,f$$ are integers and the fraction $$\dfrac{a}{b}$$ is of simplest form.

Evaluate $$\displaystyle \int_{b}^{a} 6(cz^2+dz+f)\partial z$$.

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