Find the area of the region bounded by the graphs of the given functions y=tanx x=0 x=π/4



Answer to a math question Find the area of the region bounded by the graphs of the given functions y=tanx x=0 x=π/4

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$=\int _{0}^{\frac{π}{4}}\frac{\sin(x)}{\cos(x)}dx$
$=\int _{1}^{\frac{\sqrt{2}}{2}}-\frac{1}{u}du$
$=-\int _{\frac{\sqrt{2}}{2}}^{1}-\frac{1}{u}du$
$=-(-\int _{\frac{\sqrt{2}}{2}}^{1}\frac{1}{u}du)$

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