CASE

被积函数

积分域

精确解

本文解

误差(%)

1

f(x) = x

[0,1]

0.5

0.4958

−0.84

2

f(x) = x²

[0,1]

0.333

0.3298

−0.96

3

f(x) = x³

[0,1]

0.25

0.2498

−0.08

4

f(x) = x⁴

[0,1]

0.2

0.1975

−1.25

5

f(x) = x²+2

[0,1]

2.333

2.3306

−0.10

6

f(x) = sinx

[0,π]

2

2.002

0.10

7

f(x) = cosx

[0,π]

0

0.0016

0.16

8

f(x) = 2^x

[2,3]

5.771

5.7706

−0.007