Q: Find the antiderivative F of f(x)=4−3(1+x^2)^−1 that satisfies F(1)=−9.

Question

I got 4x-3arctan(x), but it still seems to be incorrect, and the hw doesn't care for constants (like +C at the end). Am I missing something?

Answer 1

you are correct as far as you went. Now just use the data point they gave you to find C:

4*1-3arctan(1) + C = -9