Its TIME To have a ERICeaglemathsriddle Solve it: $$I=\int\limits_{0}^{a}f(x)dx$$ $$a0$$ $$and, f(x)

Question

Its TIME To have a ERICeaglemathsriddle 
Solve it:
$$I=\int\limits_{0}^{a}f(x)dx$$
$$a>0$$
$$and, f(x)<0 $$ for all $$0\le x \le a$$

lgbasallote · Answer

lol do you even know what you're asking?

anonymous · Answer

ya I know??

anonymous · Answer

@lgbasallote @ramkrishna @ParthKohli @chand @dumbcow 
pls help with it

dumbcow · Answer

well the answer will be negative since f(x) <0 for all x
but can't integrate a function i know nothing about

anonymous · Answer

come on @dumbcow  help

dumbcow · Answer

thats all i got...you stumped me , please tell me what the solution is

anonymous · Answer

I'm asking to you my bro!

anonymous · Answer

@nbouscal

dumbcow · Answer

if you are looking for numerical answer...there is none
you can use fundamental thm of calculus
$$\int\limits_{0}^{a} f(x) dx = F(a) - F(0)$$
where F'(x) = f(x)

anonymous · Answer

since F(a) and F(0) both are less than zero so

if |F(a)|<|F(0)| then I > 0

and vice versa.