4 Find the following integrals. a. b. c.

Q: What sort of answer do we expect for each of the following integrals? 51

A: ∫351f(t)dt=gt351=>∫351f(t)dt=g(51)-g(3)So, the answer will be a constant.

Q: w'ew dw -1

A: Using integration by part's & definite integral.

Q: 11. Evaluate the following integrals: a) (-3x+1 dx b) S²³+6x-2 x*+6x²

A:

Q: 1. Find the following integrals using the graph below: g(r)

A: The integral function is ∫-44gxdx-∫-13gxdx.

Q: 5. Evaluate the following improper integral, if possible. Show all work! (2x-1)

A:

Q: b) Calculate the integral L (0(*) + o(1 – 1)) dr.

A: To find: The integral of ∫-22θt3+θt-1dt. Formula used: The sum or difference of integration:…

Q: dx 2. S х2—х

A:

Q: 5. S(x + 1)(x³ + 3x + 2)®dx

A:

Q: 7.1: Evaluate the following integral and show your work: S (2? + 1) e-" dæ, 0 < x < 1 е

A:

Q: 25 dx Evaluate the integral 10 x(In x) 5

A: We have to evaluate the integral: ∫525dxxlnx10 This will be solved by substitution method since…

Q: Evaluate the following integrals.

A: Given:

Q: * (Find the integral of e^2x c

A:

Q: S 3 7 39+x² dx

A: We need to solve integral.

Q: 2. a) Evalute the following improper integrals dr 3

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the remaining…

Q: 7. Evaluate the definite integrals. a) S TVr - Idx b) Si evE dx

A:

Q: 4 Find the following integrals. a. с. dx d. dx

A: To find The given integrals.

Q: Evaluate the integrals in ∫8 e(x+1) dx

A: ∫8ex+1 dx Put  x+1=t⇒1+0=dtdx⇒dx=dt

Q: Evaluate the following integral [(x – 1)e** dr. – 1)e-²

A: Given,           ∫x-1e-xdx

Q: (a) dz (2z4 + 1)3

A:

Q: 4. Evaluate the following integrals. (a) / + 5 - +e-* )dx

A:

Q: 1) Find the following integrals: a) S dx 3x+1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: A. Evaluate the following integrals. S(e* + 1)² dx 3.

A:

Q: 1. Evaluate the following integrals. a. x-4 (In x)? b. dx

A: Given 1)∫xx2-4dx2)∫(lnx)2xdxWe need to evaluate the integrals.

Q: 3) Evaluate the following integrals.

A:

Q: 4. Calculate the following iterated integrals by hand. Show all steps. (a) (b) (c) -dr dy

A:

Q: 3. Evaluate the following integrals (a) S(x² + 2x – 4) dæ

A: If Fx is a particular antiderivative of a function fx on an interval ?, then every antiderivative…

Q: Find the following integral S,(x5 + x* + x3 + x² + x + 5) dx

A:

Q: ズ e' 3-e 2x

A: a)∫5xx24x4-9dxb)∫2ex3-e2xdx

Q: 6. Evaluate the following integrals (a) x cos? xdx

A: Given: ∫xcos2xdx

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: FROBIEM 1: Calculate the following Integrals. 12/2

A:

Q: Calculate the integral approximation S12 for S de. •7 1 x5+1 S12 =

A: Given,  ∫371x5+1dx

Q: | (3 – t) (2t² + 3) dt 15.

A:

Q: 1. Evaluate the following integrals. 27+5V7 dr

A: Given integral ∫122π+5x23-1xdx The objective is to evaluate the integral.

Q: 1 e 9- z

A:

Q: 4) |x² . In x dx

A: Given : to evaluate the integrals∫x2 ln x dxformula: integration by parts∫u dv=uv-∫v du

Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: S 3* 2*dx

A: We have to use the exponential rule of integration . From the exponential rule of integration we…

Q: (2) Evaluate the following integrals.

A:

Q: 1. Evaluate the following integrals. Do not simplify! (a) S 7x(3x² + 5)'14dx

A: Given that a)∫7x(3x2+5)14dx b)∫x-3x+8dxc)∫x(4x-1)6dxWe need to evaluate the integral

Q: 2. Find the following integrals: a. √3x²-x+5 b. S 3x² √x3-10

A: We can solve this as follows:

Q: 11) What are the following integrals? a)S f(x)dx b) S xdx

A: Calculate the integral value: a) ∫abfxdx b) ∫xdx Here we use the integral formula: ∫xndx=xn+1n+1+c

Q: 2. s2 Evaluate the integral

A: Given Data: Integrand: ∫123s2+s3s2ds Simplify the integrand,…

Q: 1. Determine the following integrals: (a) dr (b) (7-)da

A:

Q: + 2 e 1.

A: Evaluate:

Q: 3. Find the following integrals. dx S- a. +a?

A: Explanation of the solution is given below...

Q: 5. Evaluate the following integrals: (a) dr, (b) e3 dr.

A:

Q: 3. Find the integral: L,x*dx

A:

Q: 2) Evaluate the following integral.

A: