7.1.25 Question Hel Evaluate the integral. 6e 6r dr бr 4 e 6 e 6r S dr бr 4 e

Q: Suppose ftowak= -4. Jtodk=7, and fawan=2. Sowx -4, f(x)dx = 7, and g(x)dx = 2. Evaluate the…

A: we can evaluate the given integral by applying the   following properties.     ∙∫ab fx  dx=-∫ba…

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x2…

A: The double integral is given as  I=∫ab∫f(x)g(x)dydx or I=∫ab∫f(y)g(y)dxdy   Double integral is used…

Q: If what does the following integral equal? - 11 [¯¯1² [8f(x) + 2g(x) — h(x)]dæ = - 68 - 11 [= f(x)…

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Q: Suppose f(x)dx = - 5, | f(x)dx =7, and g(x)dx = - 5. Evaluate the following integrals. 2 2 2 g(x)dx:…

A: Use the following properties of integration to solve the question. If lower limit and upper limit…

Q: 4 7 7 Suppose Jto)dk = - 7. Jro)d = 2, and gwdx = 4. Evaluate the following integrals. g(x)dx = 4.…

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Q: Which of the following is equal to the given integral? (Note: B > 2.) B 14e-t + 27 dt e-t 14e-2 + 27…

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Q: 39. Determine the integral of: S x²e* a. e*(x2 + 2x + 2) +C b. e*(x² + 2x – 2) + C c. e*(x2 – 2x +…

A: We will evaluate the following integral.

Q: 15х2 — х3— 43х - 19 The integral | can be rewritten as (x + 1)²(x² – 6x + 13) Ах + B C D lax² + bx +…

A: Follow the procedure given below.

Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: 1- By using Gamma function , this integral I = z*e-?dz equal : a) 5i b) 24 c) 48 d) none of the…

A: Given : I=∫0∞z4e-zdz

Q: Q.1) Evaluate the following integral ez (2e2r - 4e – 1)

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Q: The particular integral of (D – 10)10y= e10x is 10! e10z Yp z10 10 Yp = ()e10z 10! Yp = ( )e10z O…

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Q: ty" + 4y' = 12 O t

A: We have to find

Q: If what does the following integral equal? - 31 - 95 [9f(x) + 4g(x) — h(x)]dx = - 31 [ f(x) dx = 9 -…

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Q: 6. Evaluate the integrals: L(5t3 + 100)8"(t + 1)dt L10 exp [-15t – 4] 8'(t – 4)dt i. ii.

A: 6 (i) The given integral is, ∫-22(5t3+100) ∂''(t+1) dt

Q: 7. Evaluate the definite integral. (a) L (3x+4) dr (b). V2r +1 (c). 1+4x

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Q: -3 Evaluate the integral ſ² ſ² ſ²₁ xz(y + 1)dxdydz

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Q: * السؤال .13 L[u(t – 4) (r²6' – 16 6')] = - %3D O n Ge-d" (금 + ) -4s O 6'e * (-In 6) ). 2 (s-In 6)…

A: Lapalace transform satisfies linearity property, La·ft+b·gt=a·Lft+b·Lgt. By laplace transform table…

Q: 1/2 2 The double integral I = S12 S rer*drde is equal to: A. " (e* – 1) B. (e? – 1) c. 풍(e-1) 6 D.…

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Q: 6. Evaluate following definite integrals: S(3x2 +2x – 2) a. b. (3x + 2VA)

A: Given  a)∫15(3x2+2x-2)b)∫49(3x+2x)  Let us evaluate the first integral (a)let…

Q: 32 A f(z)dr = 6 -72 and 32 g(x)dx 26 72 and -32 / h(x)dx = 22 72 what does the following integral…

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Q: Зx2 + 8х -12 x(x² +7x + 12) (x+ 3)"(x + 4)m ` The resulting integral of f dx is In + C where e ,m…

A: Given: I=∫3x2+8x-12xx2+7x+12dx For evaluating given integral, first we simplify given expression…

Q: 8. Evaluate the following integral A) e-2 B) e² C) e-¹ e-2t6(t-1)dt D) e E) 0

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Q: MyLe Ass HW Section 7.1. Briana Roberts Elephantine ge. Early reprod Evaluate the following…

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

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Q: If q(s)ds = 16 and q(s)ds = 6.6 what does the following integral equal? | q(s)ds -

A: ∫-64q(s)ds=16⇒  q(4)-q(-6)=16        (1)∫14q(s)ds=6.6 ⇒ q(4)-q(1)=6.6         (2)subtract equation…

Q: 7. Evaluate the following integrals. 5 a) e dr -5 .2 b) (y – 1)(2y + 1) dy

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Q: The particular integral of (D – 10)"y= e10z ; 10z 3p= (끓)e10z O None of the choices Yp = ()e10z Yp =…

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Q: (5 ln R dR R? 33.

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Q: 2 Use properties of integrals to evaluate S [(e2") – (e*)] dæ, 1 2 2 if S (e2") dæ = $ – : dz = $ –…

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Q: 3. Suppose g(t) dt = 5. Find the value of each of the following integrals, if possible. a. Sg(t/2)…

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Q: 16 What is the value of the definite integral (2t/2 + 6) dt? Enter your answer as an exact fraction…

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Q: Can i get help step by step with this problem?

A: To evaluate the below indefinite integral

Q: c) More lab problems Evaluate the integrals 7. So' x VT- x²dx 8. Tdt xy1 – V5+12 /5+t² 9 (T/4 sec2 A…

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Q: 1/4 we use the substitution u = (x²+1)² on the definite integral (x³+x)(x²+1)23 dx then the integral…

A: From the given problem: I=∫01x3+xx2+123dx...1 Let, u=x2+12 Now differentiate with respect to x on…

Q: 16 What is the value of the definite integral | (2t'/2 + 6) dt? Enter your answer as an exact…

A: Given, ∫1162t12+6dt We know that, ∫fx±gxdx=∫fxdx±∫gxdx Therefore, ⇒∫1162t12+6dt=∫1162t12dt +∫1166…

Q: z'e? dz

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Q: 7 So Suppose f(x)dx = 6, f(x)dx =5, and g(x)dx = 8. Evaluate the following integrals. 2 2

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Q: Evaluate the definite integral. 1 8t e dt (2+ e8)2 0 1 8t e dt (2+e8)2 0 (Type an exact answer in…

A: Given:

Q: 6 6 iwen ["r*dz = 320, x³ dx x dx 16, dx = 4, evaluate the following using properties of definite…

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Q: 1. Find the general antiderivatives/indefinite integral of the following a) S(2x-2 +; ) dx

A: ∫xndx=xn+1n+1+C

Q: 13. Evaluate the definite integral. 1 а. x6 b. (4x – 1)²dx = С. 7 du = Vu n. d. 2 e. (13 – t3). dt…

A: Here we have to evaluate the given definite integral.

Q: If - 19 L f(x)dr = 12 - 91 and - 19 L. = 30 g(x)dx - 91 and 19 L h(x)dx = 35 - 91 what does the…

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Q: dx The integral of the given function S is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

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Q: | (4æ – 8)* dz du -- where u =| (enter a function of æ) du =| dæl (enter a function of æ) a=| (enter…

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Q: -3 -4 1 3 4 6 7 Compute each of the following definite integrals: (a) / s f(x)d.x. 10 (b) / f(x)dx.…

A: (a) ∫04fxdx This integral is given by the area under the curve. This area can be divided into 3…

Q: Can i get help step by step?

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Q: 16 Suppose we know that " (35(x) – 2) dr = 6 and that :[ #f(x²) dx = 8. Use this information and…

A: We have, ∫4163fx-2dx = 6 ∫04xfx2dx = 8 To evaluate: The value of ∫04fxdx

Q: The velocity v(t) of a sprinter on a straight track is shown in the graph below. 5 3 1 -1 -3 -5 -7…

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