Question

How do I find an anti-derivative that is the inverse of the sum rule? (f+g)'(x) = f'(x) + g'(x)?

Answer 1

dont understand... there is sum rule for integrals too. its the same

Answer 2

trying understand the example here: http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-c-mean-value-theorem-antiderivatives-and-differential-equations/session-37-antiderivatives/MIT18_01SCF10_ex37prb.pdf

Answer 3

sorry, anti-derivative rule...

Answer 4

\[\int (a(x)+b(x))dx=\int a(x) dx+\int b(x) dx\]

Answer 5

ok, cool