Activity 4.4.3. Use your knowledge of derivatives of basic functions to complete Table 4.4.5 of antideriv- atives. For each entry, your task is to find a function F whose derivative is the given function f. When finished, use the FTC and the results in the table to evaluate the three given definite integrals. given function, f(x) antiderivative, F(x) k, (k is constant) x" , n #-1 J , X >0 sin(x) COs(x) sec(x ) tan(x) csc(x) cot(x) sec-(x) csc-(x) ex ax (a > 1) 1tx2 V1-x2 Table 4.4.5: Familiar basic functions and their antiderivatives. a . ( x3 - x - e* + 2) dx b. (2 sin(t) - 4cos(t) + sec-(t) - 7) dt C. ( Vx - x 2 ) dx