Question #5232

Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f(x)=4-3*(1+x^2)^-1, F(1)=0

Expert's answer

<img src="../../..//assignments/uploaded_files/static/25/dc/25dcee4d26842f0f6c1c1603b859ed8e.png" title="" alt="">

F(1)=0=4-3/tan(1)+C

C=3/tan(1)-4

F(x)=4x-3/tan(x)+3/tan(1)-4

F(1)=0=4-3/tan(1)+C

C=3/tan(1)-4

F(x)=4x-3/tan(x)+3/tan(1)-4

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