6 Use the properties of definite integrals to find f(x) dx for the following function. 1 2x + 1 if xs5 f(x) . - 0.3x + 7 if x>5

Q: 3. Find the following definite integrals. (2x +3)dx (x2- 1)dx x² - 2x)dx sin(3x + 4) dx 1

A:

Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: Use the Change of Variables Formula to evaluate the definite integral. dx (x² + 8)° (Use symbolic…

A:

Q: Using the same definite integrals from the previous problem, which one of the following is the value…

A:

Q: 4) Evaluate the definite integral: S, (6x² – 3x + 7)dx.

A:

Q: 4. 13x²-1 3 X-X -dx

A:

Q: 5 Evaluate the definite integral f(x) dx given the following: -3 f(x) = for x 2

A:

Q: 3. Find the indefinite integral: Sx(x-2)* dx

A: Please rate

Q: Which of the following definite integrals is equal to 0? * 2 (x³ + 1) dx (2.x° + x) dx -2 Option 4…

A:

Q: IV. Evaluate each of the following indefinite integrals. 1. ſ v2-3x dx

A: Evaluation of the integral

Q: ∫(−6x6−2x3−4)dx

A:

Q: Solve the following problems on bond papers (maximum 3 bond papers) with 2 inch margin on all sides.…

A:

Q: 9. Use the properties of definite integrals to find |f(x) dx for the following function. 4 8x + 1 if…

A: Accoding to condition of f(x)  devied it in two part where function changes.  Then simply integrate.…

Q: Evaluate the definite integral. 3 3 dy y /1

A: As per bartleby answering guidelines we are allowed to answer only one question per post. Hence…

Q: 2 Using substitution, the definite integral 3x2 dx is equivalent to /x³ + 1

A: To find the correct option.

Q: 1. Sketch the graph of the function y = f(x) = 3 – V4 – x² over [-2, 2] and use this to evaluate the…

A: Given: The function y=f(x)=3-4-x2,             Interval: [-2,2]             Integral:…

Q: Determine whether the following functions below is a solution or not a solution of the integral f(1-…

A:

Q: What is the value of the definite integral | (-4x° – 3x + 3x – 1) dx? Enter your answer as an exact…

A:

Q: 7 Use the properties of definite integrals to find f(x) dx for the following function. 2 4x + 1 if…

A: We will solve the problem

Q: 13x? + 17 What is the indefinite integral of ) dx (2x+1)(x² + 4

A:

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: dx 2. x²V4-x?

A: Just use the trigonometrical substitution to make integral easy and then solved it.

Q: 4 Given f(x) dx =-5 and f(x) dx = 3, use the properties of definite integrals to find f(x) dx.

A:

Q: 8. Find the value of the constant C for which the integral 11x 11C dx x* + 1 4x + 1 converges. C =…

A:

Q: Find the value of the following definite integrals. Show your solution. 1. f(x¹+4) dx 2. (cos x +…

A:

Q: Given the function graphed below, evaluate the definite integrals. 3- -1 6 -2 -3 f(x)dx = | =|…

A: the given graph is: we have to find: ∫01f(x) dx  and  ∫19f(x)dx

Q: Use the properties of definite integrals to find f(x) dx for the following function. 2x + 5 if x5…

A: Given that, We have to find : ∫46f(x)dx

Q: (a) Evaluate the following integrals by interpreting each in terms of areas and using basic…

A: As per our guidelines, we are allowed to answer only one question. Since, you have posted multiple…

Q: 3 (1 + 2x - 4x³) dx

A: The given integral is ∫131+2x-4x3dx

Q: 1. Use properties of the definite integral to solve the following problem. f (x)dx = -3 and f(x)dx =…

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx x²V4-x2

A: The given integral is 1/[x2 sqrt(4-x2)].

Q: 3. fx² √9-x² dx

A:

Q: e2x 2.) S. dx ex – 5

A:

Q: Given the function graphed below, evaluate the definite integrals. 2 3 4 5 6 7 8 -3 -5 [²ƒ(z)dz = −5…

A:

Q: 5. Evaluate the following indefinite integrals. 8. **** Power 2 ...... sin.x dx. b-₁f.co₂x² dx…

A:

Q: Q4. Find the integral of the following functions x dx (x-1)(x2+2x+1)

A:

Q: Solve this problem in digital format (Not by hand) step by step Develop the following improper…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

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

A: We need to find integral.

Q: 3. Evaluate the definite integral below: S¯¼ √x² + 2x − 5dx + Sq − √x² + 2x − 5dx

A: To solve the following integral problem

Q: 2. Find the following definite and indefinite integrals. Use Substitution when needed a) f…

A:

Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: If you were to use a substitution of u = 3x³ + 6 to evaluate the definite integral below, what would…

A: Given integral: ∫-144x23x3+64dx We have to use substitution u=3x3+6 to evaluate the new limit of the…

Q: Evaluate the following definite integral. Show all intermediate steps. ∫12   [ 2xe^(x^2+1) +…

A: Explanation is given below...

Q: 3. Find the indefinite integral. S (3e* + +x³ + 3) dx

A:

Q: 6 Evaluate the improper integral, if exists : dx (5 – x)3 -00

A:

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

A:

Q: 3: Evaluate the following definite integrals. / (2x – 62² + x°) dx

A: NOTE: You have posted multiple questions at a time, we have given the answer to the first…

Q: 15. Evaluate the integral 10 ·dx (x – 1)(x² + 9)

A:

Q: 2. fx²5-x' dx

A: ∫01x25-x3dxapply u substitution;take, u = -x3;du = -3x2-du3=x2then our equation can be written as…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.