1(x) = √²*²*²²* u(t) dtdtdtdt, to a single integral. Using the formula (70), noting that n = 4, we find the equivalent single integral. I(x) - 3! H [ (x-t)³ u(t) dt,

Q: Find the integral [((a+1)x+(b+1))((c+1)x+(a+2))*** dx .

A:

Q: 1. Show that In(x² +1) x² +1 - dx = πln 2.

A: We need to prove the given integral

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A:

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A:

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A:

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A: we have to find the integral

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A:

Q: use the noise terms phenomenon to solve the following Fredholm integral equations !- = x (1 + √5/2²…

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A: Verify that the given first-order ODE belongs to the form of dx/dt = f(x/t). If so, solve it using…

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A:

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Q: 6. Consider the function f(x) with f(x)dx = 5 and Jo (a) Evaluate [² 2f(x) dx (b) Evaluate ff(2t)dt…

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Q: 2. Find the Taylor Polynomial and remainder for the integral I(x)= [dx'f (x'). a

A: In this question we have to find the taylor series of the integral function.

Q: 3 -1 -2 -3 -4 1 2 3 4 5 6 7 8 9 10 Compute each of the following definite integrals: (a) f(#)dr. 10…

A: Given

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Q: In x /1+ (In x)² 6 S -dx

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Q: Use the table below to find X f'(x) g'(x) 1 2 2 5 1 23 3 d dx 345 [3g(x) + 5x] 3 4 1 4 4 5 3 2 |x=1

A: To find:-Tablex12345f'(x)25413g'(x)31542

Q: Use the properties of the integrals to rewrite the integral as the sum of the individual integral.…

A:

Q: 9. The value of ¹₁ O True False [Tn (x)]² dx = 0, for each Chebyshev polynomial T₁(x), n > 0.

A:

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Q: q2-  91.2% of 1980 is: Select one: 18057.6 180576 180.576 1805.76 18.0576

A: We are asking to find 91.2% 0f 1980

Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

A:

Q: 20. Verify by differentiation that finx dx = x(In x-1) + C, then use appropriate changes of…

A: