xe 2, x Cosz dx

Q: Evaluate the followin dx X dx%3D X- 3 (Type an exact answer.)

A: Integrate as general

Q: ex dx /1-ex

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Sx³cos3x?dx

A:

Q: Evaluate d/dx cot x

A: Our Aim is to compute the derivative of cot (x).

Q: 2.x? Evaluate dx using substitution technique. 2x' +5

A: Since Mulitple questions are asked, Hence doing only first question.

Q: find dy. y = 2 cot (1/√x)

A:

Q: Integrate the following: dx 1. 2 + yx

A: The substitution rule of the integration is given by ∫f(g(x))g'(x)dx=∫f(u)du, where g(x)=u.

Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²

A:

Q: 2+ex dx ex Evaluate:

A: Topic = Integration

Q: Separate the variables and evaluate the DE: cosx/dx + 1/ydy = 0

A:

Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: find the following intergral X^2+1/ X-1 dx

A:

Q: to determine the approximate value of v(1+x³)dx

A:

Q: Evaluate Si S dz dæ dy 0. 4.

A: Here I am attaching image so that you understand each and every step.

Q: xe* dx Jo (1+x)

A: Given                                            I=∫01xex1+x2dx now,…

Q: Solve the following problem Pu + dx2 = 0, 0 < x < L, 0 < y < H ду? ди ди (0, y) = 0, (L, y) = 0, dx…

A:

Q: S = ÷ S gle) de, then 9 x /1 - xª dx 4

A: The question is taken from the calculus in which we have to solve the integral of given question We…

Q: SiSi dx dy dz Q4) Evaluate xyz

A:

Q: Find dy/dx for the Following!- secx 13x Cot 5x (2In 9x)

A: Find dydx of the following:y=lnx4secxtan-1e3x6cot5xe2ln9x

Q: оЗ Сlassify PDES below: int 3 и ди y? dx3 ue 5x ду — и + и

A: Nonlinear differential equation

Q: Find dx dy for y = Vx log, (x' – tan x). Do not simplify your ar

A:

Q: Evaluate: 0 xsinx 1 + x² dx

A:

Q: | 7x°(x - 5)-4 dx

A:

Q: sin x dx COS x

A: Indefinite Integration Substitution

Q: evaluate using Integration by Parts, substitution, or both if necessary.

A:

Q: Do as indicated. Show complete solution. (2x + 1) (x + 4) (x – 3) dx (antiderivative) (x – 2)°(x +…

A: Given:∫2x+1x+4x-3x-23x+33dx…

Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

A:

Q: dy _ 1 dx y-x 6.

A: 6) Given:             dydx=1y-x               dxdy=y-x                dxdy+x=y This is in the form…

Q: Q3/ By using definition, proof that cot x = dx csc2 x.

A:

Q: ] Integrate by parts to show that Vx dx = 2e4 - e* dx. ex. е —

A: To evaluate the given integral choose  √x as the first function and ex as the second function and…

Q: Evaluate f sin'y cosy dy. 2

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Q: Evaluate dx .

A:

Q: Sulve the Poll owing DiE (x'+) dy+ (2xy +) dx

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Q: find dy/dx. do not simplify with exception of multiplication of numbersy=5/2x^6 -2/x +6x^1/3 +pi^4

A: Consider the given function and differentiate with w.r.t. x.

Q: Salve: (1+yjdx =2yVi-x? dy

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Q: dx x? – 4x + 5

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Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

A:

Q: x²+2 dx x+2

A: We can solve the integral as below.

Q: dx Vsinxcos3x

A:

Q: Evaluate 1 dx, x = 0, x = 1 1- x

A: Using beta and gamma function.

Q: If * 1 y = 3u? + 2 and u = -, x = 1 then dx dy ||

A: If  y=3u2+2u=1x x=1 To find dydx

Q: Evaluate. (Be sure to check by differentiatingl) 1 dx, x# - 3 9+ 3x

A: To evaluate: I=∫19+3xdx Use the rule: ∫1xdx=ln |x|+C

Q: 1 dr rVx* – 4 #8.

A: The given integral is ∫1xx4-4dx. Let u=x4-4. Then, du=4x3 dx. Apply the substitutions and evaluate…

Q: Determine how large the number a has to be so that dx

A: Given that: ∫a∞1x2+1dx&lt;0.005

Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

A:

Q: find dy/dx,sinx=ysin(x+b)

A: Given,

Q: Sx(2x – 3)®dx

A: Solution

Q: 4. If f f(x)dx= 14 and f (x)dx = 10, find ſ, f(x)dx. Draw a sketch to justify your answer.

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.