i) Approximate the integral x? sin x dx by Simpson's rule with n = 4. ii) Find the minimum n required to get an accuracy of 103 in evaluation of above integral by Composite Simpson's Rule

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Q: (b) 12 sec² 3x 1.² 0 6 + tan 3x dx

A:

Q: Find the indefinite integral

A:

Q: dr Find the percentage error by calculating the integral with the Trapezoidal Formula using n = 4…

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Q: Q1) Evaluate the following integral using by parts Method y= Jinx² dx

A: Disclaimer: Since you have posted multiple question, we will be answering first question for you. In…

Q: Ssin(Tx)cos (3Tx)dx

A: We will use the formula Sin (A) Cos (B) =1/2[Sin (A+B) +Sin(A-B)]

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.