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Q: Evaluate the indefinite integral.

A: To evaluate the below indefinite integral.

Q: evaluate the integral. li+4/ij-8r³/2k)dt

A: To evaluate the integral, ∫14t-1i +4tj-8t32kdt

Q: Use the appropriate substitution to evaluate the following integrals: 9x² + 1 +C 2/9x² +1 V9x2 + 1…

A:

Q: Use integral tables to evaluate the integral. S- 1 xp. xV64 - x2

A: Evaluate the given integral  ∫1x64-x2dx by using table of integrals as we know that from the table…

Q: Evaluate the integral. 4 (8 – t)Vt dt

A: We have to solve the integration

Q: Use the substitution formula to evaluate the integral 6r dr V16• 3r² O 2V19 -8 O NIS .4

A:

Q: et dt (e2t +8et+7)z

A: Here we have to evaluate I=∫ete2t+8et+732dt

Q: Evaluate the double integral : dy da O 35 O - 77 O - 35 O 77

A:

Q: Evaluate the double integral : (2r + 2y – 4) d dz O 75 O 100 O 175 O 150

A:

Q: By using the substitution method, show that for any positive numbers x and y ry 1 dt = Sdt

A:

Q: Evaluate the integral. 6. 1 dt +3 3V2 V? - 9

A: Solution: ∫3261t3t2-9dt Apply trig substitution: t=3 sec(u) And adjust integral boundaries t=32…

Q: Evaluate the integral. 5x а. (25x²-10x +198)+c 125 Ob. (25x²+10x-202)+c 125 e -(25x²– 10x - 201)+ c…

A: The given integral is ∫x2-8e5xdx. Here we use the integration by parts formula:…

Q: Evaluate the integral. 2 v5 + 5v8 dv レ4

A:

Q: 3.3 5t – 3 dt 2t° – 7t

A:

Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

A:

Q: Evaluate the integral. 7t dt 1 + t2' 1 + t2

A:

Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

A:

Q: Show that F(n fla)] ds pleae do it frast

A:

Q: evaluate using the appropriate method or combination of methods.

A:

Q: 2 dt 4+ t²

A:

Q: Evaluate the integral

A:

Q: Evaluate the indefinite integral S5x Vx9 +6dx (2° + 6) +C * (2° + 6)! +C (2° + 6) + C ( + 6)} +C 10

A:

Q: Evaluate the integral. 1 ds V5s - 9

A: Given,         ∫15s-9ds

Q: Evaluate the integral. 2 vA + 4v8 v5 dv

A:

Q: Evaluate the integral " -2n 1+4cost dt. 17-8cost

A:

Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: Is the DE ordinary or partial? ada+bdb3D0 ODE PDE Undetermined

A: An ordinary differential equation (ODE) contains differentials with respect to only one variable,…

Q: Evaluate the integral. 2 Ỉ -1 7t sec ¯¹t dt 2/√√3 2 7t sec¹t dt =

A:

Q: Evaluate the integral. | e3t V4 + et dt = %3D

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 6y + 9 -dy (?…

A: Solved below

Q: calculate the integral.

A: We rewrite the integral as:

Q: Evaluate the integral. e Sx +2 -(64x²+16x - 66)+ C a. 512 e 8x +2 S(64x-16x-6 +c Ob. 512 e 8x +2…

A:

Q: dx xV9x2-4

A:

Q: 16. Integral Ydy 6y2-1

A:

Q: Evaluate the integral. S8+V5+6x+ 4x? dx - 3(5+ 6x + 4x*) + C

A:

Q: If Lple)dt = 22 and p(t)dt = 5.3 what does the following integral equal? p(t)dt =| 21p/2 Questien…

A:

Q: The triple integral ¹²-x² √4x²-y x dzdydx is equal to 0.33 0.08 None of them O

A: Let's evaluate given triple integral.

Q: Evaluate the following integral: Sov (v² + 6 Vi7 - 3 V -)dv -) dv 3y2

A:

Q: Evaluate the integral. 2. v3 + 9v6 dv

A:

Q: In (xle)secx (2- sec²x) ha sec(3A – x) Ju"du? What should be the value of A for dr to be integrable…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to…

Q: 4 V16- !! Evaluate the iterated integral хуdydxdz. Do not round. Give the answer in the form of the…

A:

Q: Evaluate the integral. 4 VE dt VE 4 Vi dt =

A:

Q: Use the substitution method to evalu ate the integral. /2

A:

Q: Evaluate the integral. 4VE e dt Vt 4VE e dt =

A: This is case of integration by substitution where we look for an derivative in the integrand.

Q: The triple integral SL 4dxdzdy is equal to 24. False True

A:

Q: Evaluate the integral. r1/2 xp VZ14 SV16X2 - 1

A: From the given problem:   I=∫2412dxx516x2-1 .....(1)   Let,…

Q: Choose the most appropriate answer: Evaluate the integral : (19 Inx) dt 38(2 In 2 – 1) 19(2 In 2 +…

A: We need to evaluate the following integral ∫1219lnxdx

Q: Evaluate the integral. dt Vt O A. 2 OB. T 715

A: The integration of (t^2+1)/√t limits from 0 to 1.

Q: Choose the most appropriate answer: Evaluate the integral : S(19 Inx) dt O 38(2 ln 2 + 1) o 19(2 ln…

A: The integral is ∫12(19 ln x)dx

Q: Evaluate the integral. et dt e2t - 12et + 32 Inlet - sl -4 Inlet -4| + C e' Inlet - s| - ! e' In|et…

A: Given:            ∫ete2t−12et+32dt

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.