Q2: Evaluate the following: (answer only two) (a ) S2 dy f, sinx dx (b ) S, dx f* dy S**-y dz +y-1

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A:

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A: We have to find out the integral

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A: In the given question, concept of numerals is applied. Numerals A numeral is a sign or name that…

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Q: Evaluate: dx x? +9 (3) (4) 5, x? In x dx

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A:

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A: Integration gives the function whose derivative is given. It is nothing but adding all slices to…

Q: y = (x- x), then dr True O False O

A: solutionif y=x4-x7 thend29ydx29=0 true or noty=x4-x7In above equation (y=x4-x7)Degree of…

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A: To evaluate the given integral.

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Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: The given differential equation is 3x-2y+1dx-x-2y-3dy=0.

Q: 1 dx Vx - 1|

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Q: (d) dx x 2 -1 2.

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Q: Q7 Find dy using substitution: dx y = csc-(x3 + 1)

A: Put u=x3+1. Then, du=3x2dx Therefore, the expression y=cosec-1(x3+1) becomes,…

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A: Solving the given integral by substitution.

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Q: Evaluate the function: S 4ry(6+y/2)dy

A: topic - indefinite integral

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A: We have to integrate

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A: Double integration

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A:

Q: Evaluate: 4e-2* dx. Show your work!

A: Please refer the attached image for complete solution.

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.