1. Sx tan?x dx

Q: Evaluate the following integrals using integration by parts. Sre* dx f x3 In x dx -2x sin 2x dx

A: Solve the following

Q: Evaluate the integral S ( Inti+ 3t' sin (t) i+ k) dt.

A: We apply integration separately to each term and then simplify

Q: Evaluate the integral: sec?( 1) dw

A: Given integral, ∫sec2w-1w dw

Q: Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R= x…

A:

Q: 1e uex dx (3+x²)5/2 x3 Ue be

A: ∫03x33+x252 dx Consider, ∫x33+x252 dx Put, x=3 tanθ⇒1=3 sec2θ·dθdx⇒dx=3 sec2θ dθ Therefore,…

Q: Evaluate the integral using integration by parts. e4 x* In (x)dx 1

A: To Evaluate:

Q: S 343.4 * (0) (9x) dy

A:

Q: evaluate the integral using the Integration by Parts formula with the given choice of u and dv.

A:

Q: Compute the integral below using integration by parts. So³ (12x + 4) cos 2ædx

A:

Q: (x² + 2x) cos(2x) dx

A:

Q: Use contour integration to compute the following integrals. (a) 1. 2π cos(20) dv 5+4 cos v

A: (a) Given integral ∫02πcos(2ϑ)dϑ5+4cosϑ. The objective is to compute the integral by using contour…

Q: Consider the integral sin(5z) d: Applying the integration by parts technique, let and du x dz Then…

A: The by parts formula of integration is ∫udv=uv-∫vdu.

Q: Evaluate the integral TA. '* dx. I =

A: Given that: ∫12x3ex2dx

Q: Evaluate the integral using the following values. x dx = 60 x dx = 6, dx = 2 J2 %3D 5x dx J2

A:

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

A:

Q: Evaluate the integral (by interpreting it as the area between two curves) 4 I Va +2 – a| 0 dx -

A:

Q: х? +2 dx x +1

A:

Q: Evaluate the following integrals using integration by parts xF ex dx

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Which is NOT included in evaluating the integral? 2 + Vx) dx а. dx

A: The answer of the following questions is given below...

Q: Evaluate the integral. (Use C for the constant of integration.) | sin (0) cos (@) de

A: Given integral, ∫sin3θ cos6θ dθ It can be written as =∫sin2θ sinθ cos6θ dθ=∫1-cos2θ sinθ cos6θ…

Q: Evaluate the integrals. ∫sin z sin (cos z) dz

A: Consider the given integral ∫sinzsincoszdz

Q: Evaluate the integral. S (sec r- sin r) dx

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Evaluate the integral using the given substitution. (Vx cos (x3/2- 4) dx

A:

Q: Evaluate the following integrals using integration by parts | sin-l y dy sin 2x dx

A: To determine the indefinite integrals.

Q: z sin y dy 2

A:

Q: Use Romberg integration to compute Rg,3 for the following integral x sin x dx

A: Given integral is, ∫01xsinx dx Then we can write as, h1=b-a=1-0=1h2=b-a2=12h3=b-a4=14

Q: Evaluate the integral. integral xcos5x dx

A: The given integral is ∫x cos5x dx. Let u=x   and  dv=cos5x dx. This implies that du=dx  and…

Q: Evaluate the integral using Integration by Parts. | 3y? sin 4y dy

A: Here we have to evaluate the given integral by using integration by parts.

Q: The value of integral .dz is (z – 1)?

A:

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

A:

Q: Evaluate the integral using integration by parts with theindicated choices of u and dv .   ∫θ Cos θ…

A: We have to solve the integral using integration by parts: ∫θ cos θ dθ taking u=θ, v=cos θ When two…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V6y + 1 +C

A:

Q: 2. Evaluate the integral by interpreting it in terms of areas: J | sin x dx. -T

A:

Q: Evaluate the integral using property of So √x e² dx' the F

A: Given:  To evaluate ∫x1/2*e-2xdx using property of pdf ?

Q: evaluate the integral using the Integration by Parts formula with the given choice of u and dv.

A:

Q: XP √ ₁ (1+²√2hr, (-1<p<3). dx, (1+x²)²` 0

A:

Q: Evaluate the integral using integration by parts 1. J xe" dx;

A: Given : Dear student as per our rule in one session we can only solve one question. Please post the…

Q: dx 1 = J Jaz-x2

A:

Q: Evaluate the integral cot2x dx J Tcot?x – 15

A: We will evaluate the given integral as shown below

Q: 1. sin Va +1 dx

A: The integral function is ∫sin3x+1dx

Q: Find the integral by Integration By Parts. 2. 0 cos r0 de 3. cos t dt 4. x² sin x dx

A: Integrating By Parts Rule.

Q: Evaluate the integral. (Use C for the constant of integration.) cos (a) da J Vsin(a)

A:

Q: Evaluate the integral.

A:

Q: Evaluate the integral using the given substitu Sxcos (5x?) dx, u=5x? dx, u= 5x sin (5x?) +c О в. sin…

A:

Q: evaluate the integral using substitution method sin√w/√w dw

A: The given integral beI. I=∫sinwwdw. The most important step is to convert  variable such that the…

Q: Evaluate the integral. (Use C for the constant of integration.) sin(t) dt os°(t) coS

A:

Q: Is the integral formula correct? Sxsinx sin x dx = - xcos x+ sin x+C

A:

Q: y dy (y–1)*

A: We will solve the following.

Q: Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R 0, x…

A: Given