Question Using integration by parts, the integral f(9x 3)e*dx is equal to:

Q: Evaluate the integration by parts (5х)(сos(3x))dx 0.

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Q: The region bounded by the graph of y = x²VIn x and the x-axis on the interval [1, e] is revolved…

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Q: substitution

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Q: 2 e) [ỉ xin xdx 1 f) ₁x³In xdx 1 g) [xe*dx h) [ xe3xdx

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Q: A. x + 2 4. x² + 4x + In (x + 2 + Væ² + 4x) + C 2 2 x + 2 4 x + 4 -1 x' + 4x sin -) + C 2 - 2 2 С.…

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Q: Direction: Evaluate the following integrals. 25x3 1. S 30x5 + 20x7 dx 4 3

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Concept Check: Evaluate the following integrals: 1. f(x¹ - 5x³ + 6) dx 2. Sv (1-1/v²) dv 3.…

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Q: x2 Use integration tables from the back of the text to find the integral f- dx. Specify which V5-4x…

A: Given,    ∫x25-4xdx We need to solve this integral.

Q: В. .3 x³ In(x) + C 3

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Q: What change of variable would you use for the integral sec-x -dx? 3 tanx

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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.