If f(-x) + f(x) = 0 then $\int_a^xf(t)dt$ is:
Answer & explanation
Correct answer: option 2
If f(x) is an odd function then F(x) is an even function, but if f(x) is an even function then F(x) is an odd function only if F(0) = 0 $(F(x)=\int f(x)dx)$
If f(-x) + f(x) = 0 then $\int_a^xf(t)dt$ is:
Correct answer: option 2
If f(x) is an odd function then F(x) is an even function, but if f(x) is an even function then F(x) is an odd function only if F(0) = 0 $(F(x)=\int f(x)dx)$