- #1
f[t_] := 0.25*
((-4037.89 + Exp[0.015*t]*(4044.44 -
66.6667*t))/Exp[0.015*t])^2
myint[(x_)?NumericQ] := NIntegrate[f[t],
{t, 0, x}]
Plot[myint[x], {x, 0, 2}]
FindMinimum[{Evaluate[myint[x]],
0.5 <= x <= 1.5}, {x, 1}]Mathematica is a powerful software program used for various mathematical and scientific computations. It is commonly used by scientists, engineers, and mathematicians to solve complex problems and equations.
Mathematica uses advanced algorithms and built-in functions to solve numerical integration problems. It can handle various types of integrals, including definite and indefinite integrals, multiple integrals, and improper integrals.
Yes, Mathematica has the ability to solve complex integrals using its built-in functions. It can handle integrals with complex numbers, as well as integrals with complex functions.
The process of solving numerical integration in Mathematica involves defining the function or expression to be integrated, specifying the limits of integration, and then using the appropriate built-in function or algorithm to obtain the numerical value of the integral.
While Mathematica is a powerful tool for solving numerical integration problems, it does have some limitations. It may not be able to solve extremely complex integrals or integrals with unknown variables. It is also important to verify the results obtained from Mathematica as it may not always provide accurate solutions.