Question

finding the area under the curve y=cos x using integration

Answer 1

\[\int\limits_{}^{} \cos(x) dx = sinx +c\]

Answer 2

the area under any curve is the integration of the f(x). for you question you have a open ended integral. if you want to know for only a section of the graph then integrate over [a,b] i.e. \[\int\limits_{a}^{b}\cos(x) dx = \sin(x) | [b-a] = \sin(b)-\sin(a)\]