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### Section 7.6 : Integrals Involving Quadratics

Evaluate each of the following integrals.

1. $$\displaystyle \int{{\frac{7}{{{w^2} + 3w + 3}}\,dw}}$$ Solution
2. $$\displaystyle \int{{\frac{{10x}}{{4{x^2} - 8x + 9}}\,dx}}$$ Solution
3. $$\displaystyle \int{{\frac{{2t + 9}}{{{{\left( {{t^2} - 14t + 46} \right)}^{\frac{5}{2}}}}}\,dt}}$$ Solution
4. $$\displaystyle \int{{\frac{{3z}}{{{{\left( {1 - 4z - 2{z^2}} \right)}^2}}}\,dz}}$$ Solution