Q4: Find the integration for the following functions: - (answer three only) sin(lnx) dx 3- In(x²+x)-lnx-elnx dx со (1-сos2x) 1- - S 4- f csc? (cscx). dx 2-5 2 In(e(x+1)) cosx dx sin?x

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A: Given integral is: ∫5cotx-sinxcsc2xdx Rewriting the integral:…

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A: We have to find

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A:

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A:

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A: We have to solve given problem:

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A:

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A:

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A:

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A: Given, f(x) = sin2x For the given function , applying chain rule ,  First differentiate it as { xn ,…

Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

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A: As per the guidelines, we can be answered only for first question. Please repost the rest question…

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

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A:

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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.