1.

\int e ^ { x } \cdot \operatorname { cos } ( e ^ { x } ) d x

Answer»

∫ e^x cos(e^x) dx

let e^x = t e^x dx = dtso∫ e^x cos(e^x) dx will be∫ cos(t) dt = sin(t) + c

so answer is sin(e^x) +c



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