4x tan(x² }tx

Q: e2x sin 2x dx

A:

Q: Evaluate the following integrals using the appropriate technique. dx (a) S (b) Sp5lnp dp 5-3x

A:

Q: Se*cos2x dx

A: We have to evaluate the integral ∫ex cos(2x) dx.   Integration by parts : ∫u·v dx = u·∫v dx -…

Q: sec(2x) tan(2.x)dx

A: We will find out the required value.

Q: Evaluate the following integrals r0.5 S"x cosh(x² + 1) dx

A:

Q: Evaluate the following integrals (i) So V1– cos 2xdx

A: Since there are multiple questions posted, we will answer the first one (i). If you want the…

Q: Evaluate the following integrals. 1. S sin*(2x) dx

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the following integrals.

A:

Q: Evaluate the following integrals.  Z sin^6 (2x) dx

A:

Q: V. S, sin* () cos5 (-) dx

A:

Q: sech?x ix. xp: tanh(x)V1-tanh²x

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

Q: Evaluate the following integrals using dx = -00 (a) 7xe- dx (b) 13 xe-X dx

A:

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

Q: Determine the following integrals (a). cos xsin.xdx (b) [- dx 17-5x+6 (c) fxe*dx

A:

Q: Evaluate the following integrals: (a) dx x²/x² – 16 - (b) sin x cos xdx (c) x – 3 x² + 6x + 5 -

A:

Q: In x dx Sx² sin x dx S(x + 2)vx +1 dx

A:

Q: . Evaluate the following integral by using the substitution x =6sin0: 1 dx x'V36 – x²

A: Consider the integral: ∫1x236-x2dx…

Q: Evaluate the following integrals. (a) /* sin(x)dx

A: Goven : Inetrgal ( x2 sin(x))dx

Q: 2. dx 1+√√x

A: integration

Q: Use the indicated substitution to evaluate the integral.

A: Given:           ∫012x21−x2dx,  x=sinθ

Q: Evaluate the following integral by using the appropriate substitution cos (x) dx 4 sin(x) + 2

A:

Q: dx (6-x²)3/2 TT

A:

Q: Evaluate the following integrals. (a) / ( + 3x) sin(z)da

A: a) The given integral ∫x2+3xsinxdx Use integration by parts, let 1st function be x2+3x and the 2nd…

Q: sin (x²) + C

A:

Q: dx J 2 + Vx

A:

Q: Evaluate the following integrals -3r (r+y²)dydx

A: Given query is to eveluate the integral.

Q: Evaluate the following integrals i. L Ix| e(1+x*) dx -0.5 ii. So x cosh(x² + 1) dx

A:

Q: Evaluate the following integrals: 1. tan? x dx

A: Given: I=∫tan2xdx We know that 1+tan2x=sec2x…

Q: Evaluate the following integrals.

A:

Q: Evaluate the following integral by using the substitution method ∫(sin√w)/√w dw

A: To find the integration (sin√w)/√w dw

Q: sin x cos(2x) dx

A:

Q: dx (6-x²)3/2 S"_ tan (x)dx

A: On solving these integration we will get

Q: x°V4+x°dx

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

Q: Evaluate the following integrals.

A:

Q: Evaluate the following definite integrals using substitution: jx(1-6x* )'dx

A:

Q: Evaluate the following Integrals 1. f 5 dx 2 ledr

A: We have to find the integral

Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Ssin (x) cos (x) dx

A: We need to integrate∫sin3xcos3xdxusing propertycos2x=1-sin2x

Q: S, 3x²e* dx .2

A:

Q: Evaluate the following integral using trigonometric substitution. хах Vx2– x – 1 а.

A:

Q: Ssei'x C tan'x t1) dx 3. X.

A: According to Bartleby guidelines I can only answer the first question of the given two. please…

Q: dx (6-х?)3/2

A:

Q: Evaluate the following Integrals: 1. 6x² sin x³ dx

A: NOTE: As per our guidelines, I have solved the first problem in the picture.

Q: A. Evaluate the following integrals: | sin 'xcos xdx 1.

A:

Q: Sx² Vx – I dx

A: Given query is to find the value of integral.

Q: Evaluate the following integrals. 1. / tan x sec x dx

A: Given that: ∫tan5xsec4xdx       NOTE: As per our answering guidelines, we can only answer 1 question…

Q: x² tan¬1 x d 72

A: Consider the integral: ∫x2tan-1x dx. Apply Integration by parts ∫uv'=uv-∫u'v. Let u=tan-1x and v'=x2…

Q: Evaluate the following integrals.

A: The given integral is ∫13 tan-1xx12+x32 dx. Substitute t=x  and  dt=dx2x=dx2t in the above integral…

Q: Evaluate the following integral by using the substitution method sinvw dw M.

A: ∫sinwwdw We need to Solve the above integral by substitution

Q: e tan (e) d.r (b) sec2 (e) - 7

A: