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

Q: 5). S 13+1)E dx (Improper Integral)

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Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

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Q: Find the Particular Integral for the given differential equatiorn d²y dy +3- dx +6y =2x²+x+5 dx2…

A: using expansion,         (1+x)-1 =1-x+x2 -x3+...

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

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Q: Q2: Evaluate four of the following integrals: 2. 3. 2 log2(x+2) dx (x+2) dx 1. r? cosh(lnt) dt…

A: Explanation of the answer is as follows

Q: Q3. (30pt) Calculate the integral 2x³ – 4x + 1 - (1– cos x) dx 1+x? a) for n= 10 according Simpson…

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Q: 2. Compute the following. When evaluating the definite integral, change the limits of integration.…

A: (a).  The given integral is: ∫x21+x35dx

Q: 7/2 2. Is cot x dx an improper integral? Explain.

A: Given integral is not an improper integral.

Q: d/dx integral from e to x^3 ln(t^2+1)?

A: If Fx=∫b(x)axf(t)dtthen dFxdx=ddx∫b(x)axf(t)dt=faxa'x-fbxb'x

Q: J, 3x +1 dx 3. Find the exact value of the given definite integral *, 6 dx 4. Evaluate the given…

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Q: 10. Use differentials to estimate to estimate sin(46°). vZ(n+180) А. D. VZ(T+180) 360 180 В.…

A: Let y = sin (x)

Q: (4)Evaluate the definite integral (a)[ 1+sin x dx (b) | 2t + cost dt -7/2 5 x + dx (d)[ sec' 0 d0…

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Q: Which of the following is or is not an improper integral? Clearly explain your choice. A. ₂dx B. dx…

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Q: Find the indefinite integral. 3 8 dt = t3 t2 +C

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Q: A. Integration by parts o (3t + t*) sin(2t) dt

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 3. (4 pts) Find the exact value of each definite integral. 4x5 dx (b) dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

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Q: Q₁: Evaluat the integral:- 플 S S. sec (cosx) dx dy Sin y

A:

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: Q2 Find the integral for the following : dx 1 1-5 2- fe-*sec? (ne-*)dx 3- S dx 2vx+2x 1+e*

A: We have to find the Integral for given expressions. 1. ∫dx/(2√x + 2x)  2. ∫e-x sec2(πe-x)dx  3.…

Q: Q3: Find the integral for the following functions: - 1 dx 1)S- Vx2-2x+1 2) S 3cotx csc² (x)dx 3)…

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 eCos-1x 5. S V1-x2 6. Se…

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Q: 2 4 Q3) Evaluate the integral || xe" dy dx 0 x?

A: LetI=∫02∫x24xey2dydxchange the orderI=∫04∫0yxey2dxdyLet∫0yxey2dx=x∫0yey2dx∫0yxey2dx=ey2[x22]0y…

Q: 5x+6 Consider the indefinite integral e+0 dx:

A: given equation= e5x+6

Q: 3:25 PM Thu Dec 3 ?L 39% T Consider -8 2 g 6y J dy + geus dy gey) dy -9 Use properties of definite…

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Q: Find the indefinite integral.

A: ∫ exex+12dxSubstitute u =ex+1=∫ u2duApply the Power Rule:  ∫xadx=xa+1a+1,    a≠-1=u2+12+1Substitute…

Q: iSy dx dy 3.

A:

Q: Q1:Choose theappropriate value to integrate the following sin(In x) dx (sin (In x) – scos (In x)) +…

A: Solution I=∫sinin x dx        Let  lnx=t⇒x=et         1x dx=dt          dx=xdt…

Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: Q3/A) Evaluate the integrals S sin(ln x)dx

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Q: find the indefinite integrals. 1. ∫ e−0.05t dt 2. ∫ (3/t  -  2/t^2)  dt

A: case 1:The given indefinite  integral  is ∫e-0.05t dt.Let u = - 0.05t, then du/dt = -0.05.

Q: dz

A: Here I am attaching image so that you understand each and every step.

Q: 04/ Bind the differential of Hthe Punction at the indicated number f(x)- JzxAY x =4

A: We can find the differential at the indicated point as below

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: 2 и…

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Q: Find a bound for the error in the approximation T20 to the given integral (but do not calculate…

A: Find a bound for the error in the approximation T20 to the given integral∫0217e-x8dxEnter the error…

Q: 2 dydx -23-1 (xy)³ SS.

A:

Q: Q3/ Find the integral x e* dx by using trapezoidal and simpson methods with an error of no more that…

A: According to question given :Integral ∫01x ex dx by using trapezoidal and simpson 38 methods with An…

Q: Q4: Find the value of integral 1 1 1. 1+x4 1 V1–x²dx 1 cos(x + 1) dx 2. 3.

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Q: 27. For what value or values of a does ах |dx 2x x² + 1 converge? Evaluate the corresponding…

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Q: 4) Evaluate the following indefinite integrals. a. S (+ V3 - dx 4 3x2 b. S (2 sec2 x- 5 cscx cot…

A: Integrare

Q: Q.1) Evaluate the following integral ez dx (2e2 – 4e* – 1) - -

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Q: 10. Find the indefinite integral. Te cos 3t dt dv u = du = v =

A: Given integration is : ∫e9tcos3t dt   To find the value of integration.

Q: 5. Evaluate the indefinite or definite integrals: 1 arctan y e а) dy 2 1+ y 1 b) [ dx (Use Trig Sub)…

A: According to the question answer guideline the expert suppose to answer the first three subparts of…

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

A: Separate the integrals.

Q: Q2) Find the integral value for the following functions (choose five only): 3x 1. S dx V1+3x2 2.…

A: To evaluate the given integrals

Q: Q2 Find the integral for the following : dx 1-S 2Vx+2x 2- Se-*sec² (ne¯*)dx 3- S dx 1+e*

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Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

Q: Calculate the integral approximation S6 for 2 2-a" dx. 1 S6

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Q: Q1\ Evaluate the integrals: 10 A. S- V16+x2 В. Г(3 — 2х)-5 dx

A: