Math Problem Statement

P(x)为 A*t(s(x))在0到x范围对x的变上限积分,s(x)为P(x)/B在0到x范围对x的变上限积分,t(s(x))=-3.11302293666198e-5*(0.00331486138220175*(2*s(x) - 0.487)*(s(x)**2 - 0.487*s(x) + 17.3687)*(14.1924*s(x)**3 + 471.841*s(x)**2 + 1048.2*s(x) + 26.3996) - (0.0575748328890475*s(x)**2 - 0.0280389436169662*s(x) + 1)**2*(42.5772*s(x)**2 + 943.682*s(x) + 1048.2))*(14.1924*s(x)**3 + 471.841*s(x)**2 + 1048.2*s(x) + 26.3996)/(0.0575748328890475*s(x)**2 - 0.0280389436169662*s(x) + 1)**4,A = 3.14*0.18,B = (2e5*3.14*0.01*0.01*3),牛顿迭代法求解P(x)并绘图。

Solution

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Math Problem Analysis

Mathematical Concepts

Integration
Newton's Method
Numerical Methods

Formulas

Newton's iteration formula

Theorems

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Suitable Grade Level

Advanced Mathematics