Q1: Evaluate the integral using integration by part x² +1)e*dx =

Q: Calculate the integral

A: Required formulae: ∫exdx=ex+c , c = integration constant∫abexdx=[ex]ab=eb-ea

Q: evaluate the integral

A:

Q: solve integral eqn. use L.T. and Convolution Integration 0 to t ( y(x)/(sqrt(t-x)))= 1+t+t^2

A:

Q: x+3 x-3 2x + 5. A student simplified the expression 4 6 and gets the answer 12. What did the student…

A: For addition two fractions with different denominators, we have to make denominators same using…

Q: Identify the method applicable and evaluate the integral using the identified method: adx 5. S -…

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Q: (4A)Find area bounded by y = 0, y =√x-x² using double integration.

A:

Q: use integration by parts to establish the reductionformula.

A: Integration by part formula: ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: [(4x³ (4x³-9x² + 7x + 3)e¯x dx

A:

Q: Integral of (5x3 + 1 - x4) dx

A: The given integration is: ∫5x3+1-x4dx

Q: evaluate the integral

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Q: Use canine friendly methods to compute the integral da. Vz(1-2)

A: Let I be given byI=∫01x4x1-xdxlet C be the classical dog bone contour around [0,1] in the complex…

Q: Il-Find the following integrals by suitable substitutions 1 - x. (9 + x2)) 18.dx 2- 2XVX2 + 10.dx

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Q: x = sup(A) and if a ɛ A, with x#a , then which of the following statements is Let true? O There is…

A: Given that x is sup(A) . We have to check which of the following statement is true or false.

Q: 4x2 + x – 2 dx x3 – 5x2 + 8x – 4

A:

Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: :The value of -2|U(A)| is

A: If the value of U(A) is (5) or (-5) then |U(A)| =5 then   -2|U(A)|=-2*5=-10. Otherwise answer is…