Concept:Integration reverses differentiation; integrate each term separately and add the constant of integration k.Explanation:Integrate sinx: ∫sinxdx=−cosx+k1 Integrate −5x2: ∫−5x2dx=−5⋅3x3+k2=−35x3+k2 Combine both results: −cosx−35x3+k This matches option C.Answer:−cosx−35x3+k Option C.