2e2 Consider the indefinite integral dx: (e2 + 3)° This can be transformed into a basic integral by letting U = and du = dx Performing the substitution yields the integral du Integrating yields the result +C

Q: 1 dx, using a (x2 + 1)2 Evaluate the second indefinite integral, trigonometric substitution.

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Q: 6e6x Consider the indefinite integral /- dx: (ebz + 2)° This can be transformed into a basic…

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Q: 7e7z Consider the indefinite integral dx: (e7z + 5)" This can be transformed into a basic integral…

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Q: 22e(2/3)× dx

A: Use: ∫eaxdx=eaxa+c

Q: e Inx dx 1

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Q: dx I = S е. a² +x²

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

Q: 3 2x To find the definite integral dx, apply the basic integration rule. Vx? + 16 Let u x + 16.…

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Q: Q3/ Evaluate the integrations: Seax cos (e*) dx. A)

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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: Q3/ Choose the correct answer to evaluate the following integral 1 dx I = 1 (1 – x+)Ź

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Q: 9e9z Consider the indefinite integral dx: (e9z + 2)° This can be transformed into a basic integral…

A: To evaluate the integration.

Q: - be-6x dx: - Consider the indefinite integral (e-6z + 5)3 This can be transformed into a basic…

A: We have, the given integral as I=∫-6e-6xe-6x+53dx Let us consider that,…

Q: +2 dx: Consider the indefinite integral a) This can be transformed into a basic integral by letting…

A: The given integral,        ∫e7x+2dx

Q: Q1 Find a particular integral. (D² +5D+6) y= e²* (see'x)(1+2 tan x) -2x

A: Given equation,  (D2+5D+6)y = e-2x(sec2x) ( 1+ 2tanx ) Let us solve the equation for y. y…

Q: 1 1 dx 1) Evaluate the integral sinh r

A: Given that ∫0∞1x-1sinhxdxx Let  L=∫0∞1x-1sinhxdxx then…

Q: dr: Consider the indefinite integral (x4 + 9)* This can be transformed into a basic integral by…

A: Here by using substitution we have to find following integral,

Q: Q3: Find the integral for the following functions: - 2) ſ e3se c(x), sec(x). tan(x) dx

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

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Q: 1 x2 Consider the indefinite integral dx: (2³ – 2)³ This can be transformed into a basic integral by…

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Q: 5x+1 What is f'(x) given the integral function f(x) = S cos(e") du?

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Q: Q8/ Evaluate the integral: 4e* dx dy

A: According to guidelines we solve one question.

Q: 9e9x Consider the indefinite integral - dx: (e9z + 4)5 This can be transformed into a basic integral…

A: ∫9e9xe9x+45dx=9·∫e9xe9x+45dxLet u=e9x+4.So, du = 9e9x.=∫99u5du=∫1u5du

Q: a. Find the approximations T10 and M10 for el/ dx. b. Estimate the errors in the approximations of…

A: To estimate the value and the error using the midpoint and Trapezoid rule for 10 subintervals.…

Q: 5e5z Consider the indefinite integral dx: (esz + 5)3 This can be transformed into a basic integral…

A: Using Substitution,

Q: (4+ysin(y)-3^/y²` dy. Find the general indefinite integral f y

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Q: 2e Consider the indefinite integral dx: (e2z + 3)* This can be transformed into a basic integral by…

A: Given,

Q: Evaluate the definite integral (За3 — 5а + 2) da fo 5а + 2) dx — a) Find an anti-derivative +C b)…

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Q: (a) Find the differential dy. dy (b) Evaluate dy for the given values of x and dx. x- 0, dx = 0.05…

A: NOTE: Refresh your page if you can't see any equations. . take derivative .

Q: 4 sec t to evaluate the integral J 2-16 dx Use the substitution x = Note: Use C for an arbitrary…

A:

Q: 5. Given the integral expression below: T/2 (8 + 4 cosx) dx Evaluate its value, a. analytically b.…

A: This is a problem of Numerical Analysis.

Q: 9e9z Consider the indefinite integral dr: (e9 + 2)° This can be transformed into a basic integral by…

A: ∫un du = un+1n+1+C

Q: Consider the indefinite integral dz: (e-2= + 2)5 This can be transformed into a basic integral by…

A: We have to solve the integration

Q: 3 2 Evaluate the integral| (4- y?) dy dx. 0 0 The value is (Type a simplified fraction.)

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Q: -5e 1 Evaluate the integral: dx. 1 x A. - - 1 5e B. 1+ In 5 C. 0 D.00

A: We have to evaluate to integrate

Q: dx dx 2. Determine the given indefinite integral: a) S b) S Vx2-16 xV1+x2

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Q: Evaluate the integral dx dy by reversing the order of integration.

A: We need evaluate integral using reversing the order of integration∫06∫y23ex2dx dy

Q: 2. [0/1 Points] DETAILS PREVIOUS ANSWERS OSCALC1 15.1.014. MY NOTES ASK YOUR TEACHER PRACTICE…

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Q: Every answer I get is wrong please explain the steps to me.

A: We are given indefinite integral.

Q: 6x Evaluate the indefinite integral. 6e sin (e) dæ U = du 9e9x dx %3D Substitution gives du…

A: u=e^(6x) is the right substitution for this problem

Q: Q.1 Find the double integral , cos x? dA Where R between : x=-y/2, x=1 and y=-2 , y3D0.

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Q: 7e7 dx: Consider the indefinite integral (elz + 5) This can be transformed into a basic integral by…

A: We need to substitution method

Q: Consider the indefinite integral x · Vx? + 3 dæ: This can be transformed into a basic integral by…

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Q: Q /Find the next integral: (2m(E x)dx - h a

A: Given integral is 2h∫0EV2mE-vaxdx. We can write it as 22mh∫0EVE-vaxdx. Let  u=E-vax…

Q: Q2/ Evaluate the integral: 1.57 9-х2 dy dx X. by changing the order of integration.

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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: dy Which of the following functions can be used as an integrating factor to transform the…

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Q: 2 40 (a) Evaluate the integral: dx x2 + 4 Your answer should be in the form kT, where k is an…

A: According to the guidelines we are instructed to solve only one question the other questions can be…

Q: 1 dx 1) Evaluate the integral / G sinh x

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Q: given by v(t) = 7e", where t stands for time. (Note: Find the integral of the function (t).) 2.…

A: Given : ∫0π|4sinxdx+∫-π/40cosxdx

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.