17 e- dx x=0

Q: +00 1 (2) dx 2 ( In z) x=e x=e

A: 1. Given Let Applying derivative on both sides: Hence the indefinite integral can be written as:…

Q: Find the exact value of the definite integral below, using the substitution u = x - 1²/1. X (√6+√2)…

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Q: b) S 4x/8 – xdx

A:

Q: Solve the following integrals with detailed steps: dx a. x²/4+x² dx S - (4-x²)ž b.

A: a). ∫dxx24+x2 Put, x=2tanθ⇒1=2sec2θ·dθdx⇒dx=2sec2θ·dθ Therefore,…

Q: :Find the integral for the following functions: - Se3x .sinh(x) dx

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Q: x+ dx sin? 2

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Q: Among the given choices, which of the following definite integrals have the smallest value? (A x dx…

A: Here we have to find out the smallest value definite  integral

Q: Evaluate the following indefinite and definite integrals: S(x' +e* )dx

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Q: Among the given choices, which of the following definite integrals have the largest value? (A x dx…

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Q: Solve the following integrals with detailed steps: dx а. x²/4+x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: evaluate the definite integral using the values below. 23 dx = 320, a de = 16, dx = 4 2 34. z da

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Q: e2¤ (e-ª + e*)dx

A:

Q: Use an appropriate u-substitution to find the exact value (no calculator) of the following definite…

A: we need to substitute appropriate u to find the value of given integral. also we know: ∫ xn dx =…

Q: In the following equation/s, find the indefinite integral :-   see the equation attached here

A: Given integral: ∫5+4x22dx We know that a+b2=a2+2ab+b2 ∫5+4x22dx=∫25+40x2+16x4dx

Q: Among the given choices, which of the following definite integrals have the smallest value? A x dr ®…

A: Given:      From options we can find definite integrals that having smallest value. Option A:…

Q: Q2: Calculate the area of the triangle using the following integrals 3 a) dx 6. 1.

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Q: Among the given choices, which of the following definite integrals have the largest value? x dr 2 B…

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Q: Q: Find the integral for the following functions: - 4) S cosh2 (x). sinh?(x). dx

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Q: (x+3)² dx (x+1)3 viii.

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Q: Evaluate the following integral using the Beta function: *T/2 sin? 40 cos? 20do

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Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

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Q: 4. For each of the following improper integrals, find the value of the integral or explain briefly…

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Q: a) For each of the following improper integrals, find the value of the integral or explain briefly…

A: We will find out the required value of improper integral.

Q: Inx dx where x>0. 1

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Q: 1 dx

A: Topic:- integration

Q: Find the following indefinite integrals: 714 (a) S4 de (b) f(V-3") dr

A: (a) To integrate:                                    ∫x3+4x4+16xdx Let x4+16x=t Differentiate both…

Q: Solve the following Integrals by Substitution 1 (a) dx 1— 4г2 et -d.x 1+ e2x (b

A: (a) To evaluate the integral: ∫11-4x2dx Solution: Let substitute t=2x. Differentiating both sides,…

Q: Find the following indefinite integral. I dx x2 + 9

A: From the given problem:   I=∫xdxx2+9...(1)   Let,   x2+9=t   To differentiate with respect to x.…

Q: Find the following indefinite integral. S(7 + e) dx

A: ∫(7x+e)dx Formula ∫axdx=axln a+C∫adx=ax +C

Q: b) Calculate the following definite integral: [*(√x - 3) dx

A:

Q: 4 3 dx | cos(x) .5 1

A: Let I=∫14cos x-3x5dx

Q: Evaluate the following integrals using the substitution method. Answer numbers 1-2. Show your…

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: Find the following definite or indefinite integrals: -3 b) S dp (2p+1)2

A: ∫14-32p+12dpLet 2p+1=t⇒2 dp=dt⇒dp=dt2      and at  p=1, t=2×1+1=3at p=4,…

Q: Among the given choices, which of the following definite integrals have the largest value? A dr B x2…

A: We need to find the largest value from the given definite integral. This can be done as follows:

Q: 7/4 A (sint + cost)dt

A:

Q: Use a change of variables or the table to evaluate the following definite integral. 15 e 3x dx

A: Given integral is ∫0315e3xdx Substitute 3x=y ⇒3dx=dy⇒dx=dy3 And limit of integration will be change…

Q: e +1 dz e + z

A:

Q: Among the given choices, which of the following definite integrals have the smallest value? 3 (A x…

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Q: |e(1+e*}*dx

A: Integral.

Q: 4 S 2 – x² dx

A: we have to find the formula for area of a circle with radius =2 ,

Q: Among the given choices, which of the following definite integrals have the largest value? A x dr (B…

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Q: r? +3 dr 2

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Q: Among the given choices, which of the following definite integrals have the smallest value? A x dx B…

A:

Q: Among the given choices, which of the following definite integrals have the largest value? A x dx x²…

A: A) The definite integral is  ∫12 x dx

Q: Among the given choices, which of the following definite integrals have the largest value? A x dr x²…

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Q: [sin x dx

A:

Q: Find the value of the following definite integral Round your solution to three decimal places. -2…

A: To evaluate the below definite integral to three decimal places.

Q: dx 4+e=* A 4+e-* В D 4e+1 E) None

A: We have to find the integral

Q: 863 e- dx r=0

A: Note:

Q: d) |r – 2| dx

A: Given query is to find the value of 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.