4. Find the following integrals exactly. Show all working. (b) / 2='(1 + z")-1, dx

Q: 1. Evaluate the following integrals a) Smx dx (x²+16)3/2 dx

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Q: Σ nº +1 n=1 aluate the following integral. (If th dx x9 +

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Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: 1. Find the following integrals. i) S 3e-2x dx 2x2-1 dx ii) S: 2x3-3х

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Q: Q2/ Find the value of the following integrals: 1- |((x+y)dx + (y – x)dy), when cis given by, x = cos…

A: The integrals in the form ∫C(x+y)dx+(y-x)dy involve the integration over a particular curve C. In…

Q: Which of the following integrals is NOT appropriate for a substitution method? A 5x*sin(x³)dx ®…

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Q: Evaluate the following integral.

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Q: evaluate the given integral. L (1 + x)/x dx

A: we have to evaluate the given integral  ∫1+xxdx

Q: Q1 - Find the reduction formula for each of the following integrals iv. In = S sinh"x dx

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Q: Find the following indefinite integrals.

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Q: Q1. Evaluate the following Integrals 1 dx 1- cos x .2 +x - 2x +3 dx

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Q: 4. S)(1-x²)dx 5. S(e2t)dt

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Q: 1. Find the following integrals using the graph below: g(r) 4 g(x) dx

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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: 9) Calculate the following integrals using the change of Variable (substitution) mothod: 96) 3+2 dx…

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Q: Find the value of the following integral at x-1 S(x² – 1)(x + 1)

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Q: Set up an integral to find the length of the curve defined by y = 4x2 – 3 from x = 3 to x = 9, then…

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Q: Find the following indefinite integrals subject to the initial conditions a) y'= with y(1)=0 x²+6'

A: topic - differential equations

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: Find the integrals below. а) / 5x dx b) S x2-3x + 2 dx X+1 dx c) S

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Q: Find the indicated integral (if it exists) / e bx dx e12z +1

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Q: 5. Evaluate the following improper integrals (if not shoW Wny). x² dx a- 00 4 1 dx -2 x+2 b-

A: To evaluate the improper integrals.

Q: 4. Determine the following integrals 1 x – 4m x + 13m2 4.1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Evaluate the following integrals.∫(ex-e-x)/(ex+e-x)dx

A: Given integral is ∫ex-e-xex+e-xdx. Consider u=ex+e-x. Then, du=ex-e-xdx

Q: 1. Find the following integrals using the graph below: g(x) dx 24 g(x) 4 g(x) dx )dx g(x)dx

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Q: Find the following integrals a)  ∫ x3/1+x4 dx d)  ∫ ex/ 1+e2x dx c)  ∫30 | x2 -4| dx  d) ∫1 -1…

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

A: To solve the given integral

Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: 2. Find the following indefinite integrals. (a) / 18z² (b) / 182² dy

A: Integration with respect to x

Q: Q3: Find the integral for the following functions: - 1) 2 6 dx 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

A: To find the given integral.

Q: Estimate the errors in the approximations for T10 and M10 of the integral from 1 to 2 of e1/x dx,…

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Q: 4. Evaluate the following integrals. 3 е. X- 2x +2 dx 4x 1

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 2. Find the integral of xe*dx using Simpson's 1/3 Rule with n = 4.

A: Simpson's 1/3 rule for integration :-  here 'h' is difference between each interval which are…

Q: I. Evaluate the following integrals. 3.x5 dx V2 – x3 1. - 2* + e2" sin(2") dx sin(2") 2. 2x + 3 dx…

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Q: The value of the improper integral, if exists: S. 12 x e-a dx 1

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Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: 1. Set up the following improper integrals by definition. sin(x) xe-x³ dx dx 2? — Зх — 4 а. с. 7 et…

A: Solution b: Given integration is ∫17exx-1dx Here 1 is the only point of infinite discontinuity So we…

Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: 02: Evaluate the following integrals: secxdx 1. S- VIn(secx+tanx) 3. VInn 2xex² cos(e**) dx

A: Use the substitution method to solve these problems.

Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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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: 2. Find the following indefinite integrals. 3 + yx)dx

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

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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

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

Q: Determine the following integrals. ∫ ( y2+1 ) -5/4y dy

A: Our Aim is to evaluate the integral given below:-∫y(y2+1)54dy -(i)

Q: 9. Which of the following integrals can NOT be computed using the methods we have covered so far? a)…

A: We have to choose the integral which is not compute by simple integration method

Q: Q3: Find the integral for the following functions: - -6 dx 1) L 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

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Q: Evaluate the following indefinite integrals. 1. [(5x + 4)¹¹ dx 2. √x (x² + 2)¹7 dx

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