Apply trapezoidal and Simpson's rules to the integral

Q: Consider the following function. T (a) Determine an appropriate trigonometric substitution. dx Use x…

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Q: 2r +a*dx. 2.

A: Simpson's rule  ∫abfxdx=h3y0+yn+4y1+y3+--+2y2+y4+-- h=b-an, where nis multiple of 2. x1=x+h

Q: Evaluate the integral using FTC I.

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Q: 16-y2 16 – 22-y drdy by using appropriate coordinate system. an

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Q: Find the indefinte integral.

A: Consider the integral

Q: Evaluate the integral using FTC I.

A: The given integral is ∫-32 u2 du. It is known that ∫ u2 du =u33+C.

Q: (1 if 0 1

A: The given function is,f(x)=1 if 0<x<10, if x>1

Q: 5. Let Tn be the n x n matrix that has all O's below the main diagonal and all 1's on and above the…

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Q: Evaluate the integral using FTC I.

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Q: Evaluate / (x* – 2y) dA where D = {(x, y) E R²| – 1 < x < 2 and – x² < y < x²}. -

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Q: /1 x² dx /2 2 x2

A: I am going to calculate this integral using trigonometric substitution.

Q: 0 X dx x²(x - 1)' (0 < p < 1).

A: We will use the key-hole conture to find a closed form for the general case of the integral of xP-1…

Q: YA y = 3 ly 4- x2 The above diagram shows part of the curve y=4-x. The straight line y = 3 cuts the…

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Q: Consider the line integral I = O rydy – y dx where C is the square cut from the first quadrant by…

A: Greens theorem is used to evaluate the line integral with the help of double integrals. The…

Q: (B) 62 (E) 62 QUESTION 13 13. Suppose we have a tank that is an inverted triangular prism as shown…

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Q: Evaluate the integral using FTC I.

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Q: cy=lnx A= x=y=x dy dx

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Q: 13) 3 stokes theorem f.dr di с F(x,1,2) = (3Z-2y)i + (4x-3y) î + (x +2y) K and is the unit circle in…

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Q: Evaluate the integral using FTC I.

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Q: Sin 2 x cos xdX =? Xdx =? %3D X COS KINC

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Q: √5 25-32 ez²+² dx dy

A: Answer

Q: SSR (X + y) dA, where R is the region bounded by the graph of x² + y² - 2y = 0.

A: The given integral is  ∫∫R x+y dA     where R is the region bounded by the graph of x2 + y2…

Q: Evaluate the integral using FTC I.

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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.