Homework SourseFind the antiderivative Fx and fx that satisfies the given c
Find the antiderivative F(x) and f(x) that satisfies the given condition. using the constant C for the antiderivative find out what C is. Please show your work. thank you.
f(x) = (8/ 1+x^2) + sec^2t F(0)= 1
f(x) = (8/ 1+x^2) + sec^2t F(0)= 1
Solution
f(x) = (8/ 1+x^2) + sec^2t F(X)=8tan^-1 (x) +tanx +c 1=0+0+c c=1 ==>F(X)=8tan^-1 (x) +tanx +1
