Evaluate the definite integral. 10 2 dx =

Q: 3 2 dx VInx Evaluate the definite integral x

A: Hi there, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: II. Perform the integration. sinh?(e-") 4. e# cosh(e-¤) dx

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Q: dx e* + e* +ex 5. ・ So =

A: We can find the answer as below.

Q: (Sy?-8X46) dx =?

A: We need to evaluate ∫045x2-8x+6dx

Q: S sec? (;x + 4)dx ec²Gx

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Q: 1. Find the general indefinite integral or evaluate the definite integral, as necessary. a) S(3x² +…

A: We have to solve

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Q: finf the definite integral of 5(up) 4(down) suare root of 2 (x) dx=

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Q: (- + =) dx when evaluated is equal to 3Vx, 11 Find the value of a. The definite integral 12

A: Given problem:- Th value is given as  ∫49-xa+13xdx=-1112 The integration formula is expressed as…

Q: 71. Perform the following definite integral. 2 (1 – e-x/2) dx x=0

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 2 b) S dx e-x +1

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Q: Evaluate the definite integral. 32 dx - 32 32 dx = (Simplify your answer.) - 32

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Q: 49 What is the value of the definite integral 21x -4 dz? Provide your answer below:

A: To evaluate the the given integration .

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: The value of the Definite Integral 4 5 sec² æ dx = Answer:

A: Definite integral: - On the interval [a, b], the definite integral of a real-valued function f(x)…

Q: Use the Change of Variables Formula to evaluate the definite integral. 30 I = (x – 3)-1/3 dx %D 11…

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Q: (36 – x² \dx Evaluate the definite integral:.

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Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Determine how large the number a has to be so that 1 dx

A: We have to find out the value of a .

Q: Evaluate and simplify the following integral: e* + e²x -dx 1+e2x

A: Solution: The objective is to find the value of the given integral

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: Note: "According to the guidelines of Bartleby we will only solve first question for you. Kindly…

Q: |(x? - 1) dx. Use the definition of the definite integral to evaluate

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Q: calculate this definite integral 5 at the top and 0 at the bottom pi(20/5 -4x/5)2  dx

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Q: Find the indefinite integral given below. fe- (2– 4)°dz Answer:

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Q: 11. Find the value of the integral dx. d) None of the above

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Q: evaluate the following definite integral: 5 ∫ 4 (5 is the top of the integral, 4 is the bottom of…

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Q: sın x 2+cos.x

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Q: Determine how large the number a has to be so that     ∫a∞ 1/(x2+ 1) dx < 0.001

A: It is given that, ∫a∞1x2+1dx<0.001. Show the definition of an improper integral of type 1: (a) If…

Q: II. Perform the integration. sinh?(e¬") dx e# cosh(e-¤) 2 4.

A: Put e-x=t then solve it.

Q: Use the Change of Variables Formula to evaluate the definite integral. dx (x? +2) (Use symbolic…

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Q: 3. Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: The given integral is ∫ (x5 -3x4 +6x3 + 3) dx.obtain the integral value as follows.

Q: Evaluate the indefinite integral: S 5e5" sin(e5) dæ

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Q: II. Perform the integration sinh? (e¬) 4. e# cosh(e-¤) dx

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Q: Evaluate the given definite integral. 4x3 dx 5 2 .3 dx = | (Simplify your answer.) 2

A: (4x3-x35)=5(4x3)-x35(4x3-x35)=20x3-x35(4x3-x35)=19x35

Q: Evaluate the definite integral I. 1 = [₁² [(e-x + 1) dx -1 I =

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Q: r? +3 dr 2

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Q: Evaluate the following integral. 3T s²x dx CoS Rewrite the second of the two integrals found above…

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Q: Evaluate the definite integral. 8. dx 3

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Q: Consider the definite integral 10 dx. 3x -7 V The most appropriate substitution to simplify this…

A: Given that: ∫-71110-3xdx

Q: L(3x+e")dx Jo

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Q: Evaluate the definite integral. 27 dx 27 - 1 dx =O (Simplify your answer.)

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Q: Given |(-2x° + 3x – 3x° – 6)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Integral x^n is x^(n+1)/(n+1)

Q: Evaluate the integral. 16 x e3* dx = +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: Evaluate the definite integral. dx JT none of the choices

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Q: Q:: Find the integral for the following functions: - (* iS e3x .sinh(x) dx

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Q: Evaluate the integral. 13 dx +C NOTE: Enter the exact answer.

A: Here we will solve the given integral,

Q: d) |r – 2| dx

A: Given query is to find the value of the integral.

Q: Q.35 The integral sin ede is given by

A: 35 Given integral is ∫0πsin3θdθ Since, sin3θ can be written as sin3θ=sin2θ⋅sin3θ Hence,…

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.