Integrate: .5x dr e

Q: y = 4 − x2,    y = 0 Calculate its area

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Q: Sxe*dx Use integration by parts and simplify your answer. ex — хе* + C x + e* + C >>>> x - e* + C…

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Q: Sx³cos3x?dx

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Q: (1 – x²)dx eTextbook and Media 2) V You answered correctly! Move on to the next part to add to…

A: According to guidelines we solve only first question.

Q: 4 - v² ху dx dy

A: Given ∫02∫y4-y2 xy dx dy We will solve the first Integral ∫y4-y2 xy dx =yx22y4-y2 =(4-y2-y) (y4-y2…

Q: x² +1 dx x'(x-1)² 3

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Q: 1t°(1=t)* dt 1+t2 7

A: Note: Here we are solving problem (a) for reaming problem please submit the question again. Given:…

Q: Jay ti dx dy Compute the integration

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Q: 9. G. 61° %3D mGK %3D (9x- 22) (5x - 7)° mHJ %3D MHGJ = K 34° MGKJ %3D

A: As per the company's guidelines, we are supposed to solve first question for you kindly repost other…

Q: y(r*y² – 1)dx + x(x?y² + 1)dy = 0

A: If the given differential equation is of the form : yf(x,y) dx + xg(x,y) dy = 0and, Mx - Ny ≠0 then,…

Q: .2 dx I (w² – 25)5/2

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Q: Interchange the order and evaluate the integration, SL tv' dx dy.

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Q: Find Jxe* dx use parts

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Q: х" In x dx

A: ∫xn ln x dx         We know that the formula for Integrate by parts is…

Q: (b) -x1+t2 4 dt sar dx www.

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Q: -2* dx

A: To integrate using tabular form.

Q: 3. da I² + 52 Integrate:

A: To solve the following problem

Q: Find I using integration or geometry: I = 5 dx dy .

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2 ydx -3ху-dx — хӑу — 0 xdy = 0

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Q: Integrate by substitution. Change 6 back to x. x' dx 9-x

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Q: NITRO 5 Slot FHD HO 18x( x*+5)dx

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Q: 1. Evaluate the following. | (x – 2) V4- x dx (antiderivative) А.

A: The given integral is                                           ∫(x-2)2  4-x4 dx

Q: Perform the indicated multiplication and then integrate. Use Cfor the constant of integration.…

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Q: – 4) 6x? – 4x 9x2 dx

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Q: Integrate da + C

A: Integrate by using formula.

Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

Q: Examle show thet bhe fencbion s esechu=-sechurben he de

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Q: (2x + 1) (x + 4) (x – 3) dx (antiderivative) (x – 2)°(x + 3)³ -

A: According to the definition of antiderivative if dFdx=f(x), then ∫f(x)dx=F(x)+C, where the function…

Q: 1 (a) dx, (22 – 8x + 15)i

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Q: A Parallekoyr am, prop.pdt -> O File | D/HPSCANS/Paralelogram, %20prop. pdf of 2 EI D Page view A…

A: Sum of opposite interior angles on same side of transversal is always equal to 180°

Q: Sv x² - 36 dx

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Q: Which step is used to evaluate? (Integrate by parts.) -3 Inxdx a. 3 [Inx]} - | [lr dx

A: According to the bartleby guidelines I have to solve only first question in order to get the…

Q: J arcsin vc da

A: To evaluate the given definite integral.

Q: 1. Evaluate the following. A. / (x – 2)° V4 – x dx (antiderivative)

A: For finding the integral, we have a substitute u=4-x.

Q: YT y=de"

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Q: evaluate using the suggested method.

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Q: d) find ſ xlnx dx ( Hint Using integration by parts )

A: Given query is eveluate the integral using integration by parts.

Q: . The expression *", where " is equal to Blank 1, is an integrating factor for xdy + (3x – 2y)dx = 0…

A: "As per our policy we can answer only first question so please repost the other question as next…

Q: S x²(csc2x³)(cot2x³)dx

A: Given problem:- ∫ x2 (csc(2x3) (cot(2x3) dx

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: Inc Find - (1+lnx)? dx. This is a challenge one. Hint: It requires integration by part.

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Q: Perform the integration. 1. csc? x cot x/csc x – 1 dx - 6

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Q: Integrate sze" • fa". de Answer:

A: We have to find the integral Use the formula ∫v(x)u(x)dx=v(x)∫u(x)dx-∫ddxv(x)∫u(x)dxdx

Q: I- dx et Р5+ 4e»

A: Explanation of the answer is as follows

Q: (2х — 3)- dx; и %3D 2х— 3

A: Given, ∫2x-3-7dx ;     We have to find the antiderivative using the substitution u = 2x-3

Q: Picture attached. Thanks in advance!

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Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

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Q: y(r – y?)dx + x(xt +y?)dy = 0

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Q: Evaluate dx using appropriate substitution. Verify your answer by differentiating. an 1+ 2¤²

A: Given,           ∫x2x21+2x2dx