3. Se2*(sin x + cos x)dx

Q: Evaluate the following integrals 2x2 + 1 dz J (x – 1)²(r + 2)

A:

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

A:

Q: iv. L, x* (e* – e*) dx

A: Given:

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

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

Q: Solve each of the following integrals using integration by part: a) 3x² In 2x dx b) [5xsin 3x dx

A:

Q: x2 + 2 dx x° + x •T/2 5. 3 6. t cos (t) dt

A:

Q: e2x sin(e)dx cos (ezx)+3

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

Q: Find the integrals of the following function. 1. Se3xdx 2. S(e3x + 1)?dx

A:

Q: Evaluate the following integrals dx V9 - x?

A: Given that, ∫x29 - x2 dx           ...(1) We can do this with trigonometric substitution. Consider,…

Q: 4 3. S(3x + 4)%2dx S'4 sin?x dx l sin'x 4.

A:

Q: y° cos(3y) dy

A:

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx…

A:

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

A:

Q: Sx² tan x3 dx (In x)3 dx 4x 2x3 dx x++1

A:

Q: Evaluate the following integrals. 1. S(x² – 2)² dx

A:

Q: Evaluate the following integrals (from A to E) A. Integration by parts cos dz i) (3t + t?) sin(2t)…

A:

Q: Evaluate the following integrals: 1 = fx'e* dx 1. I

A: Given : Inetrgal equation is given

Q: Evaluate the following integrals Sa 4 |(x? + 4vz - - 6)dx x3

A: To solve integration of such type. You just need to integrate individual terms separated by either +…

Q: Evaluate the following integrals S, 5v – 3) (e-y*2 sinhy) dy а. b. 8(x + 1) In(sinx2*) cosx dx

A: We have to define the given Delta function and find the points in which it is non zero in the given…

Q: Evaluate each of the following integrals. Show all work. (a) / arctan(x) dx 1+ x2

A:

Q: Evaluate the following integrals: dx x4 ||

A: We can find the integration as below.

Q: T6 Based on the image attached, differentiate each of the following integrals with respect to x.

A:

Q: Evaluate the following integrals: |xy dy dx (1) -1 x 27 3 !! dx dy (11)

A:

Q: 00 dx 1 3 x³ (x²-9)Z x2.

A: Let I is the value of given Integral.

Q: (b) x-2º dr

A:

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

A: Given query is to eveluate the integral.

Q: Evaluate the following integrals.

A: Given integral is  Let us substitute  u=ex⇒du = exdx⇒dx=e-xdu ∫dxex1-e2x=∫duu21-u2

Q: 3. Find each of the following integrals using any suitable techniques: (d) sec® 4x tan² 4r dx

A:

Q: Consider the following integral: -I sinx I = dxdy y By reversing the order of integration, the value…

A: We will change the order of the integration. We will set the limits of x free and set the limits of…

Q: Evaluate the following improper integrals or show that they diverge. c+00 dx (a) x5/2 1 dx 1+ x2 (b)

A: Let's find.

Q: (b) Solve the following integral by using the Integration by Parts. e* cos 2x dx

A:

Q: Consider the following integral: sinx dxdy By reversing the order of integration, the value ofl is…

A: We will change the order of the integration. We will set the limits of x free and set the limits of…

Q: Determine the following integrals or state that they diverge. 2.) xln(x)dx 0.

A:

Q: | (x" +e – dx x2

A: The objective is to find the value of given integral

Q: dx x V1-4 In²x

A:

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x + 1) dx…

A:

Q: i. L, Ix|e(1+x²) dx

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

Q: y V3 x dx 8y-y2

A:

Q: Switch the order of integration of the following integrals, then evaluate: ƒ ƒ x sin(y²) dydx = x=0…

A: Explained below

Q: Evaluate the following integrals by parts 5) f x1 x ln x dx

A:

Q: Evaluate the following integrals: xex dx 2. xe/2 dx 1.

A: Given: I1=∫xe5xdx, I2=∫xex2dx For evaluating given integral, we use integral by parts theorem…

Q: Find each of the following integrals: x2 dx V4 – 9x² а. -

A: Solution is given below

Q: 1 1 x=6 x - 2 dx +oo

A:

Q: 1 dx x2 (1) x=1 x=1 (2) et dx x=-0 x=-∞

A: (1) Consider

Q: Evaluate the following definite integrals. 4. , kr+2/dx

A:

Q: 3x Se 3x-e dx

A:

Q: [9 cos (12 – 6t +1) dt 4

A: Solved below

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: (e) [ 4z. 4x · cos(2-3x)da

A: Topic:- application of integration

Q: 4. S2-*(5 – x)³dx

A: To integrate the given function