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: We have to find out the integral

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A: The special formula for the integartion of a function of the type  1a2-x2 is given by ∫1a2-x2…

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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Q: (1 + VA)³ -dx. (c) Evaluate /

A: To evaluate the given integral.

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A: Differential calculus is one of two main parts of calculus which is concerned with the study of…

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A: Concept : for right angle triangle sin(θ) = lenght of opposite side for θhypotenuse of right angle…

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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: If  ∫06fx dx=12, then to determine the value of ∫06f6-x dx.

Q: 16. A playing field measures 120 m by 240 m. Karen wants to mow two-thirds of the field by mowing…

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A: Solving the given integral by substitution.

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A: I = I = I =

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A: Explanation of the answer is as follows

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A: Given,          F=x2y+xy+1=0

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A: Double integration

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A: Please refer the attached image for complete solution.

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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.