Estimate the minimum number of subintervals to approximate the value of ∫sin(x+5)dx and limits are a= -2 and b =5 with an error of magnitude less than 5×10^−4 using a. the error estimate formula for the Trapezoidal Rule. b. the error estimate formula for​ Simpson's Rule. The minimum number of subintervals using the trapezoidal rule is nothing. ​(Round up to the nearest whole​ number.)

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.