Inx dc (integration by parts)

Q: 9x² 2 3x³ 5 5 dx

A: Given integral is ∫9x2-53x3-5 dx

Q: dx sin*x

A: We have to integrate.

Q: (b) cosec 0 sec 0 cot A = 1+tan²0

A:

Q: y(x³e*y – y)dx + x(y + x³e*y)dy = 0

A: given equation yx3exy-ydx+xy+x3exydy=0 simplify yx3exy-y2dx+xy+x4exydy=0            ...i this is of…

Q: How.S You Are to ConSÅruct an afen rectangular boxfro4- 12 t? of material what dimensions w resuttin…

A: Given an open rectangular box from 12 ft2

Q: 10

A: Evaluate the integral ∫4x4+310dx

Q: 2 +x+25 к 100

A:

Q: ye2xdx ye2x. (4 + e2x)dy

A: The given equation is ye2xdx=4+e2xdy The given differential equation can be solved by converting it…

Q: Problem 1. (Line Integration) Consider the curve c(t) = (e*, e-t) with 0 <t<1 and the vector field…

A: Given:

Q: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).

A: To find the equation of the plane passing through the given points

Q: x²e-x² dx #2³ J = Ji

A: Gamma function

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

A: See the solution and follow the step.

Q: 3. Sxe**(4** – e)dx

A:

Q: If possible, write iterated integrals in spherical coordinates for the following region in the…

A: Relation between rectangular coordinates and spherical coordinates is as follows

Q: 1 So 2t en + e-2t ezt - e-at dt

A:

Q: 2 -2 eydo عام 2 + +2

A:

Q: Integrate by suitable method  Asap plz handwritten solution acceptable

A: Here given curve shown  in following figure

Q: 6. For the vectors i and i given in problem 1, verify using the dot product that your answer for…

A:

Q: e using the method of trigonometr A3 de d0 /4 02

A:

Q: In? (In(ax)) dx,a >0 -dr, a a. 2x In(ax)

A: You can solve this problem using the substitution method

Q: Sexsin xdx Answer -ẹ (cosx-sinx) +C ex 2

A:

Q: .2 x cos?y dx + tan y dy = 0

A: The given differential equation is  x cos2y dx+tan y dy=0 Solving the the given differential…

Q: x-4- dx x²-5x+6

A: Given, ∫x-4x2-5x+6dx   We have to integrate.

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: (e) Find an 80% confidence interval for y when x = 38 meters. (Round your a lower limit X hr upper…

A: x y 16.1 2.48 23.3 2.38 29.2 1.68 38.3 1.03 51.3 0.75 20.5 2.38 22.7 2.20 The…

Q: Jasinxdx Answer: xcosx + Sinx +c

A:

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: Prove that (y – æ)(y + 3x)³ = cx° is a solution to 3x2 – 2xy + 3y² )dx = 4xydy.

A:

Q: 6-62. Determine the moment of inertia for the area about the x axis. 6-63. Determine the moment of…

A: We will find out the moment of inertia.

Q: 4/x e dx 4 2.

A: The given integral is Apply the method of substitution Let Therefore,the limits also get changed…