Question

Apply Simpson's rule to approximate the value of integration 1 to 4 e^x In x dx with n = 3.​

Answer 1

`Here, h=41,0.25,y=1+x21</p><p></p><p></p><p>`

`x     y101.020.25     0.9413 0.250.94140.750.64510.5</p><p>`

`By Simpson's Rule:</p><p></p><p>`

`∫011+x2dx=4×31</p><p></p><p></p><p>`

`[(1+0.5)+4(0.941+0.941+0.64)+2(0.8)]</p><p></p><p>`

`=121[9.424]=0.785</p><p></p><p>`