Q1: Approximate the integral S dx with n 4 using the Simpson's rule. %3D 0 x+1

Q: The area of the region lying below the straight line y 2x-4 between 3 < r<4 can be calculated by O…

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Q: Integrate by subsitution 3. S(5+ 2x + 3x²)(2+ 6x)dx

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Q: Evaluate the integral. 150 dx (x + 1)(x² + 9)²

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Simplify F(4;2E to approximate the sum of area using the left end points. i=1 4 (;) 1 + 8 2 2 j=1…

A: Answer is here

Q: Evaluate the integral. 20e V5x dx Select one: A. 10 e5x + C B. 45 ev5x + C C. 20 eV5x + C D. 5 e5x…

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Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: 2 Evaluate [(4x' –6x) dx O a. 6 O b. 0 O C. -4 O d. 1

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Q: Evaluate the Integral. Take the integral from - pi/4 to pi/4 from the function 8 cost i + 7 sint j…

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Q: Use the substitution a 3 sin t to evaluate the integral f V9 – x² dx.

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Q: Approximate / 1+r² dr using four rectangles and the left endpoint method (L4).

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Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: S* (x³ -1) dx 0 a. Use the trapezoid rule to approximate the following integrals: (using n = 4…

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Q: By inspection, find the following integral 1 dx 2(5 – 3x)

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Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

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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.