10:49 AM Wed Apr 19 . . . @ 100% webassign.net Tutorial Exercise Use a definite integral to find the area under the curve between the given x-values. f(x) = - V X from x = 9 to x = 16 Step 1 To find the definite integral 16 1 Ty dx, we first find an antiderivative, then use the Fundamental Theorem of Integral Calculus. As we have no Quotient Rule for Integration, we must rewrite the integrand. Rewriting the integrand as a power function, we have: Ja Vedx= [16-12 0 - 112) dx . Step 2 Now, we use the Power Rule for Integration, / xox = 1 xat 1 + c , to find the antiderivative: * - 1/2 dx = 2Vx 16 Step 3 Next, we use the Fundamental Theorem of Integral Calculus, ( rex) ax = F(x ) = F (b ) - F ( a ) , to find the definite integral: 2x1/2 16 = 2 16 16 1)712 -2(9) 1/2. Step 4 Simplifying, we have the answer to our original question: (10 dx = square units