For the circular section \frac{E}{F} u = \int_0^{10} \frac{dx}{\frac{\pi}{4} (1 - \frac{x}{20})^2} Assignment 2-4: solve the integrals above
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Step 1: Let's solve the integral: $$ \frac{E}{F} u = \int_0^{10} \frac{dx}{\frac{\pi}{4} (1-\frac{x}{20})^2}$$ $$ \frac{E}{F} u = \frac{4}{\pi} \int_0^{10} \frac{dx}{(1-\frac{x}{20})^2}$$ Let's use the substitution: $$t = 1-\frac{x}{20}$$ $$dt = -\frac{1}{20} Show more…
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