^4-x² •6-z 2. Evaluate: dy dz dx. 3x2 4-z 3. Evaluate: dx dy dz. Jo Jo 0.

Q: 5. Evaluate: (а) ( 5х* -х-4) dx (b) f( 2x +4)(3x + 6)dx

A: 5. (a) We will evaluate the integral ∫5x2-x-4dx

Q: 2-X 2-x-Y dza dx

A: the given integral is: ∫01∫02-x∫02-x-ydz dy dx we have to evaluate the given integral.

Q: ƒ7 In ()dx if sec¹ (3x) dx

A: Integration by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫ddxf(x)·∫g(x) dx dx

Q: 9) Find 5-2x - dx

A: Given: Find d2dx25-2x for finding second derivative, we find first derivative then find derivative…

Q: [ (x²ex - 12/²7/1₁) dx x + 1,

A:

Q: eXtan(e*) dx sec²(e*) – 7 2(, - 7

A:

Q: 14) fx In(4x) dx

A:

Q: T (3 sec² x + 4 csc² x) dx 3

A: The given integral,        ∫π3π43sec2x+4csc2xdx

Q: Explain how to evaluate x/2 dx.

A: Integration is the process of finding the antiderivative of the function. It calculates the volume,…

Q: 44. (-x + 4x – 5) dx -2

A:

Q: How to find the implicit differentation of dy/dx=(3xex^2+8)/(y)

A: To determine the implicit differentiation of given function.

Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

A: Given : ∫16+e-4xdx To find: Evaluate the given integral

Q: ди + 2и ду %3D dx2

A: Given PDE is

Q: 2x +9 Find- , if y = dx x-5x+1

A:

Q: 2 ди ди + 2y ду ди du az .2 dx dx

A:

Q: Number 20

A: To evaluate

Q: Find dy/dx  2x2+3x+5

A:

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

A:

Q: n/3 sec23x 8. n/4 2+4tan 3x dx

A:

Q: Integrate: a+2– +2x²-1 dx

A:

Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

A:

Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: = vt – 2. a²y y = t2 – 3' dx²

A: The solution are next step

Q: S(2-x) In(4x)dx

A:

Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: integrate [7x ^ (- 2/3) + (x + 2) ^ 2] dx

A:

Q: 5) y = tanx secx 6) Y = b x+1

A:

Q: 3. 43. dx 2 - x (1,0)

A: 43) We have to solve the following differential equation at the point (1,0). dydx = 32-x

Q: Evaluate. (Be sure to check by differentiating!) dx 5-6x

A: We have the formulas,                  ∫1xdx=lnx+c   c= constant of integration…

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: A) Evaluate 1 dx. I vit 6x – x² -

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: 14 Approximate (x2 - 3) dx using 4 rectangles. 2

A: Solution -    Given Integral is -  y=∫214(x2-3)dx    Now we have to evaluate the value of the…

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: Evaluate e6 6x cos (7x) dx. 6x cos (7x) dx =

A:

Q: d/dx  (x2/ex)

A:

Q: 2 Evaluate || dx +4x+3

A:

Q: Evaluate and simplify. L dx 1 V1-2x-x²

A:

Q: S(2-x)° In (4x)dx

A: Given the integral  I = ∫132-x2 ln (4x)dx = ∫13x-22 ln (4x)dx To evaluate the integral:-

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: ample 4: (y-2xy)dx (x-2xy)dy

A: We have given that   A defferential equation is given.  Now solve it .

Q: (4,0) 9. (1,2) Ja 3y dx + 3x dy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Please determine Į In(x2 + 1) dx.

A: The objective is to evaluate the integral.

Q: integrate (2x + sqrt(x)) dx from 3 to - 6 A. 27 +2√3+4√6 B. 27 + 2√3 C. 27 - 2√3+ 4√6 D. 27-4√6

A:

Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: . Evaluate [(x+2")*de 2*)² dx 2.

A: Since, I=∫x+2x2dx Then,  I=∫x2+2x2+2×2x×xdx=∫x2+22x+2x2xdx=∫x2+4x+2x2xdx

Q: Please integrate  ∫ ex / (9+e2x)3/2 dx

A:

Q: dy Flnd - of x³+y³=6xy dx

A:

Q: Je sin( -4x)dx 3r Su

A:

Q: 2) dx 4. - |

A: We can use method of substitution in order to solve the problem problem.