Estimate V2x +2 dx using three rectangles of equal width and right endpoints. Round your answer to 2 decimal places. The graph of v=/2x+2 is provided here, in case you might find it helpful in estimating the definite integral. Graj of y=v2x+2

Q: 1. Г, 4x3 dx -2

A: We will find the value of the integral in the following step

Q: (2x- 1) dx x2 - 15x + 56

A:

Q: Use the Change of Variables Formula to evaluate the definite integral.

A: Use the Change of Variables Formula to evaluate the definite integral.

Q: 12 dt 1+13 VI+

A:

Q: Use a change of variables or the table to evaluate the following indefinite integral. 3x* dx 15- 12x…

A: Let,

Q: Calculate the definite integral f(x) dx by referring to the figure on the right with the indicated…

A: Ginen integral, ∫caf(x)dx

Q: Use a table of integrals to evaluate the definite integral.

A:

Q: Find the general indefinite integral, then differentiate to confirm your answer |(10x – 2 sec?x) dr

A:

Q: Use a change of variables to evaluate the following indefinite integral. dx

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Q: Find the indefinite integral by using the substitution x = 5 sec(0). (Use C for the constant of…

A: We are authorized to answer one question at a time, since, you have not mentioned which question you…

Q: 8 x3 dx Vx2 + 36

A:

Q: Solve the definite integral using usub

A: To integrate,

Q: Find the indefinite integral by using the substitution x = 4 sec(0). (Use C for the constant of…

A: We have to solve the integral

Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: to evaluate the definite integral te dt.

A: To calculate the value of definite integral by using integration by parts. The provided definite…

Q: Which of the following definite integrals has the same value as x(5-x)³ dx?:

A:

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of f V(1+ x3)dx. Give…

A: Given integral is ∫021+x3dx and h=1. We have to approximate the given integral by using Simpson's…

Q: Solve the new Integral using the General Log Rule. Then, back-substitute x into the equation.…

A:

Q: Evaluate the definite integral.   definite integral of 20 at the top and 0 at the bottom 8/ the…

A: ∫02082x+1dx Consider, ∫82x+1dx=8∫12x+112dx=8∫2x+1-12 dx=812·2x+1-12+1-12+1+C     ∵∫ax+bn…

Q: Find the indefinite integral and check the result by differentiation.

A: Consider the given expression as dydx=4x+4x16-x2

Q: Use integration by parts to evaluate the definite integral. 8t? In(t)dt Give an exact answer

A: ∫1e8t2lntdt=8·∫1et2lntdt=813t3lnt-3·∫t23dt1e=813t3lnt-3·t391e=813t3lnt-t331e=82e39+19=82e3+19

Q: Evaluate the definite integral.

A: ∫15x2x-1 dx Consider, ∫x2x-1 dx Put, 2x-1=t⇒21-0=dtdx⇒2 dx=dt⇒dx=dt2 Therefore, ∫x2x-1 dx=∫t+12tdt2…

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx xV 16x2 – 1

A: Solve the  intregal

Q: Evaluate the definite integral definite integral at 2 at the top and 1 at the bottom (2x+2)…

A: Given: I=∫122x+2x2+2x-43dx for evaluating given integral, in given integral we substitute x2+2x-4=t…

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 7r +4x2 + 6x 3 dr

A: Solved below

Q: Use a change of variables or the table to evaluate the following definite integral. 1 | (9-х3) dx…

A: Topic -definite integral

Q: Use a change of variables to evaluate the following indefinite integral. (Vx+8)° dx 2/x

A:

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

A:

Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: Use the Change of Variables Formula to evaluate the definite integral. 4 dx V5x + 3

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Q: Find the following integrals. Do not add any constants of integration, as the resulting functions…

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Q: Use integration by parts to evaluate the definite integral te dt.

A:

Q: May you find the definite integral?

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 64 4 -

A: The objective of the question is evaluate the indefinite integral.

Q: Use the dennition of the Integral to evaluate x2 dx Be sure to carefully justify all of your steps.…

A: Simple use the given identity i the solution page go Through that.. And finally put the upper and…

Q: Find the indefinite integral. (Use C for the constant of integration. 5 coshyx) de

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Q: Use the Special Integration Formulas to find the indefinite integral.

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Q: |(x² +7)dx 3

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Q: Use the numerical integration feature on a graphing calculator to approximate the value of the…

A: The given integral is: ∫152 ln4x2+3 dx Let fx=2 ln4x2+3. Draw the function fx in the graphing…

Q: Use a change of variables or the table to evaluate the following definite integral. 2/8 dx 1/8…

A: Consider the given integral.

Q: х Find the definite integral: J. -dx /1+x*

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Q: Estimate ∫10 cos(x 2 ) dx using (a) the Trapezoidal Rule and(b) the Midpoint Rule, each with n=4 .…

A: Given: ∫01cosx2dx To Find: Estimate the above integral using:a. Trapezoidal Ruleb. Midpoint Ruleeach…

Q: 3+ In(2x) dx 00 X-1 1

A:

Q: Use a change of variables to evaluate the following definite integral. 1 2x dx (x² +3)?

A:

Q: 4 dx .2 (х - 6)(x + 2х + 8)

A: Perform Partial fraction Comparing coefficients By solving the equations

Q: Use integration by parts to evaluate the definite integral. 4t2 In(t)dt

A: We have to evaluate ∫1e4t2 ln(t) dt  by using integration by parts.

Q: Use a change of variables or the table to evaluate the following indefinite integral. 2x2 dx 13-4x

A: Given,          ∫2x23-4x3dx

Q: What is the value of the definite integral 61 +2 dt?

A:

Q: Evaluate the definite integral.

A: The given integral is, ∫0214-x2dx The objective is to solve the integral.

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.