Use Trapezoidal Rule with (n- 4) to find the integral dx x-1

Q: Use u-substitution to find the definite integral |4xe -3x+7 dx . Please clearly show all -k.

A: By u - substitutions

Q: 1. Evaluate 4 xdx 4+x³ ,by Composite Trapezoidal Method. n=7 fo(x) + 2 Σ1¹ f(xi) + f(xn) in-1 I = (b…

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Q: Va –2 -dx aㅎ (V+1)

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Q: Solve by using u-sub  Find integral  3X/X+4 DX

A: The given integral

Q: – dx x Inx x²+1

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: o f dx/ (x² + 4x + 5) find integral

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Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

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Q: - SxV4=x°dx

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Q: Use residues to find the indefinite integral f* dx- (16+x)2 2x2

A:

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.