ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

Q: | (6x + 4) cos(3x +2) dx COS

A: Solving the given integral.

Q: a" sin r dr, a is a constant such that a > 0, a † 1

A: Explanation of the answer is as follows

Q: tan? xsec*xdx

A:

Q: Please answer number 7.Show full complete solution. This about Integrating Factors found by…

A: As you have asked for the solution of question 7 only. So I am solving it only. Hope it helps you.…

Q: 5x2 dx et

A:

Q: [eln ax - 2x log(x² + a)]dx 3.

A: Given: ∫eln ax-2xlogx2+adx To Find: Value of the given integration

Q: 2x -x 2 x²-p²x¹ dx

A: Differentiation

Q: Given that lim x→a f(x) = 0    lim x→a g(x) = 0    lim x→a h(x) = 1 lim x→a p(x) = ∞       lim x→a…

A: It is given that the limit values  limx→afx=0, limx→agx=0, limx→ahx=1, limx→apx=∞, limx→aqx=∞ a)…

Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: Let G be the region bounded by the cylinder x? + z? = 1, the planes y=0, y=1 and z=0. By sketching…

A: Given region G is bounded by  x2+z2=1,y=0,y=1,z=0 we have to find the volume of solid

Q: y Sin (x) dx dy -2 2.

A:

Q: x²e-x² dx #2³ J = Ji

A: Gamma function

Q: Explain why you can omit the constant of integration when finding an integrating factor.

A: Constant of integration is omitted while finding the integrating factor because when the integrating…

Q: x³y³dy у2— 4у-21 (x – x4y)dy + (y + x³y²)dx :

A: See the solution and follow the step.

Q: A manufacturer supplies refrigerators to two stores, A and B. The manager esti- mates that if x…

A: Given that the monthly profit is Px,y=-2x2-3xy-2y2+20x+40y-300 We find partial derivatives.…

Q: 1. Let I(u) = F(u'(x), u(x), x) dx. Find the first variation and Euler-Lagrange equation for each…

A: According to Bartleby guidelines I have solved first part

Q: 2x³-4x-8 2. S; dx (x²-x)(x²+4)

A: Topic:- integration

Q: Use integration by parts for both.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: To evaluate: The integration of ∫sin2x·cos 2x1+cos 4xdx. Formula used: Trigonometric relation: 1+cos…

Q: Integration by substitution: Mixed practice 8. fx³√x² +1dx

A: As per the Bartleby guidelines, answer only first question as the other question is not the sub part…

Q: I need help to find R^2 and Press final answers. Everything needed is attached also the contribution…

A: However, I can guide you through the general steps to calculate these values, assuming the image…

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: Use integration by parts for both.

A: The given integral is

Q: Application of Integration Find the volume of the solid of revolution that occurs when the flat…

A: