Expression 4: "a" Subscript, 0 , Baseline equals StartFraction, 2 Over "L" , EndFraction Start integral from 0 to "L" , end integral, "f" left parenthesis, "x" , right parenthesis "d" "x" equals 5.5 4 5 1 7 7 4 4 4 4 8a0=2L∫L0fxdx
equals=
5.5 4 5 1 7 7 4 4 4 4 85.54517744448
4
Expression 5: "a" equals StartFraction, 2 Over "L" , EndFraction Start integral from 0 to "L" , end integral, "f" left parenthesis, "x" , right parenthesis cosine left parenthesis, StartFraction, "n" pi "x" Over "L" , EndFraction , right parenthesis "d" "x"a=2L∫L0fxcosnπxLdx
equals=
negative 1.6 0 5 6 9 0 5 8 0 3 8−1.60569058038
negative 0.5 0 4 1 0 2 9 7 6 0 5 8−0.504102976058
negative 0.1 9 3 6 6 3 6 2 1 8 1 2−0.193663621812
negative 0.1 0 6 8 3 8 0 6 0 0 9 7−0.106838060097
negative 0.0 6 6 1 9 0 7 2 7 8 5 2−0.066190727852
5
Expression 6: "L" equals 5L=5
00
1010
6
Expression 7: "y" equals StartFraction, "a" Subscript, 0 , Baseline Over 2 , EndFraction plus Start sum from "i" equals 1 to "k" , end sum, "a" left bracket, "i" , right bracket cosine left parenthesis, StartFraction, "i" pi "x" Over "L" , EndFraction , right parenthesisy=a02+k∑i=1aicosiπxL