a) Calculate the integral , dzdy dx.

Q: Evaluate the integral LT :(+y°)etzc>xcy = ?

A: In this question, we have to evaluate the given triple integral. The iterated form of integral is…

Q: Use integration tables to find or evaluate the integral.

A: We have to evaluate the integral: ∫x4+5x2dx Assuming, t=4+5xx=t-45 Differentiating,…

Q: Evaluate he integral isin (x+rJl dx

A: given integral, I=∫03π/2sin(x+π) dx we have to evaluate given integral

Q: Write the integral S Li dz dy dx in the form dx dy dz. Do NOT evaluate the (2) integral.

A:

Q: dx

A:

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Given integral is: Using substitution and applying derivative:

Q: Evaluate the integral dx (2x + 11) by making the appropriate substitution: u =

A:

Q: Evaluate the iterated integral. LLL* dz

A:

Q: Evaluate the integral using FTC I.

A:

Q: cOsy du dy

A: Definition used-    Double integral -                             ∫ab∫cdg(y)f(x)dxdy…

Q: Evaluate the itorated integral. 24 ,xty *ty dx dy

A: First we need to calculate integral with respect to x then y

Q: Evaluate the integral. In(Vx) dx

A: Solution:

Q: Evaluate the iterated integral // VIte" dw dv.

A:

Q: Evaluate the integral. ∫t3  et dt

A: ∫t3  et dt  We need to evaluate the integral.

Q: Evaluate the integral using FTC I.

A: Our Aim is to integrate the following expression given below:-∫092 dx-(i)

Q: Evaluate the impropec integral oc sho that it diverges, dx

A:

Q: Evaluate the iterated integral: S", Si yz dx dz dy.

A:

Q: Evaluate the iterated integral by converting to lar coordinates. /1-(х-1)2 x² + y² dy dx

A:

Q: Calculate the integral π∫−πDN(z)dz.

A: Given Data The integral is:  πꭍ-πDN(z)dz.   Compute the integral πꭍ-πDN(z)dz, Here C is constant.…

Q: Evaluate the iterated integral. 5 (ху) dy dx

A: Topic = Integration

Q: Calculate the iterated integral 2 So Só Væ + ydædy

A:

Q: Evaluate the integral using FTC I.

A:

Q: 28. e cos 2x dx ,3x

A:

Q: Evaluate the integral using integration by parts. 40 sec 20 do

A:

Q: V3 2 dy 1- у?

A:

Q: ST cos(x²) dxdy Jo

A:

Q: the exaet V alde Of the integral. a

A: The objective is to show the exact value for the integral, ∫01axdx This can be re written as,…

Q: Calculate the integral approximations Tb and Mb for sec x dx %3D

A:

Q: In Exercise, evaluate the given integral.∫(xcosx+xsinx)dx.

A: Given: ∫x cos x + x sin x dx To evaluate: The given integral.

Q: Evaluate the integral using lIntegration by Partsisubstitution, or both if necessary. In(In 10x) dx…

A: Rewrite the given integral as shown below: ∫lnln10x10xdx=110·∫lnln10xxdx

Q: Evaluate the integral using FTC I.

A:

Q: Evaluate the integral using integration by parts. cot -1(5y)dy

A:

Q: Evaluate the integral using integration by parts. x e 11x. *dx xp, e 11x dx = to

A:

Q: Use a computer algebra system to evaluate the iterated integral. 9 y dz dx dy 9 -

A:

Q: Reverse the order of integratlon and then evaluate the Integral 10Tin6 Jinu! dx dy 9/10 et2

A:

Q: Evaluate the integrals

A: Evaluate∫−π3−π44sec2t+πt2dt

Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

Q: Evaluate the integral. e sec²(8x) dx %3D +C

A:

Q: Evaluate the double integral. dA, D.

A:

Q: Evaluate the integral using FTC I.

A:

Q: z · 3°dz

A:

Q: Calculate the integral approximations Ts and M6 for Si x° dx. %3D Mc =

A: Here we have to calculate T6(n=6 for trapezoidal rule) and M6(n=6 for mid point rule) The given…

Q: Evaluate the iterated integral. SIT stad dy dx dz 5ze

A: Answer and explanation is given below...

Q: Evaluate the integral by reversing the order of integrati 2 r6 I 7e dx dy 3y

A:

Q: Evaluate the integral using tabular integration by parts. |(4 2 – x + 2) e* de +C

A:

Q: A7 Mp (M)/ eMm

A: GivenI = ∫17w2In(w)dwusing by parts u = In(w)        v'=w2

Q: et dx Ve²x+49

A: