p.s. nu am stiut cum sa pun
codul in latex
\int_{0}^{1}\sqrt{1-x^{2}}dx=\int_{0}^{1}\frac{dx}{\sqrt{1-x^{2}}}-\int_{0}^{1}\frac{x^{2}dx}{\sqrt{1-x^{2}}}=(arcsinx)_{0}^{1}-\int_{0}^{1}\frac{(x^{2}-1+1)dx}{\sqrt{1-x^{2}}}=\frac{\pi}{2}-\int_{0}^{1}\frac{(x^{2}-1)dx}{\sqrt{1-x^{2}}}-\int_{0}^{1}\frac{dx}{\sqrt{1-x^{2}}}=\frac{\pi}{2}-\int_{0}^{1}\frac{x^{2}dx}{\sqrt{1-x^{2}}}
pe forum, asa ca am pus o poza
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