r dr Evaluate the improper integral by using a suitable substitution. 4 + 49

Q: O Evaluate the following integral by using Odd and Cros² 5 ( ¹ ) d

A: We will solve the problem

Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

Q: 2dx O 25 + x2 A) 프 B) 0 C) π + 5 D) 프 25

A: Solving the problem by the method of definite integral.

Q: Evaluate the improper integral or state that it is divergent. dx 18) 18) x2 - 25 6 D) -글In 11 1 A)…

A:

Q: 1.S(2 + Vx)³ Vxdx

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

Q: Evaluate the integral. d.x NOTE: Enter the frullu simplified ansuner with no fractions 2/21der the…

A: To evaluate the given integral.

Q: Evaluate the integral by making the given substitution. dx u = 7x + 8 (7x + 8) '

A:

Q: B. Solve the following integrals. 2.) fevdxdy

A:

Q: (c) e Op 25 00sp55 Op > 0 O There is no p which makes the integral improper. Op55

A: Given that        ∫05e-px dx

Q: Evaluate the integrals using substitution. (Use symbolic notation and fractions where needed. Use C…

A:

Q: Evaluate using the Reimann Integral: L2 (2a2 + 3) dæ None of the choices. Please refer to my…

A:

Q: The improper integral o be +25 da Select one:

A:

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. ty8t2 + 7 dt…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. d.x +C…

A:

Q: t0 SinnlVx) 기 x

A:

Q: Which one of the following integrals would result from making a u-substitution in order to find the…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy /2y + 1 +C

A:

Q: Evaluate the improper integral : e Answer:

A:

Q: [25/² – 36 dz Evaluate the integral: (A) Which trig substitution is correct for this intearal?

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [t√4 t√4t² +…

A:

Q: Calculate the double integral of f(x, y) = 6 – 8x over the triangle with vertices 0 = (0,0), A =…

A:

Q: Evaluate by  ∫-2 2  (x +3 )  √ (4- x2)   dx    writing it as a sum oftwo integrals and interpreting…

A: Given: I=∫-22x+34-x2dx we know that ∫abfxdx=∫abfa+b-xdx…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. t/7t² + 8 dt…

A: Topic= Integration

Q: +00 dx Evaluate the improper integral x(In x)²

A:

Q: Using the substitution = the integral reduces to -1) 1 2p- dz 1/3

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

A:

Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Given

Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q1. a) Evaluate the following integral: II (62*y – 3:) dzdydr b) Explain (with a short sentence) why…

A:

Q: Evaluate the integral as a sum of two integrals: 4.r + 9 dr J 1² + 6x + 13

A:

Q: 8. State why the following integrals are improper, then evaluate each integral and state whether it…

A:

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. tv 6t2 + 5 dt…

A:

Q: Evaluate the integral 27 | by making the substitution u = x – 7. + C NOTE: Your answer should be in…

A:

Q: Evaluate the integral 17 a* (x* – 3)"dæ by making the substitution u = x* – 3. +C NOTE: Your answer…

A:

Q: 123 Evaluate the integral [[[x²y³ (x²y + xyz + y²²) dxdy dz 001

A: Topic = Integration As per guidelines , At a time only one question can be answered. Please repost…

Q: Evaluate using the Reimann Integral: S (a2 + 5) dæ 128 3 100 3 128 None of the choices. Please refer…

A:

Q: Q2 Evaluate the integral by first reversir 5 c2 ntegration Sán Vxª + 1dxdy Vy A: 6.9945

A: Here we have,

Q: Evaluate the improper integral da, if it exists. (22 + 49)2

A:

Q: The improper integral =0.

A:

Q: Q3: Evaluate the integral of f +Ty sdy

A:

Q: Q/ Evaluate the integrals :- 1 + Z

A: This question is based on indefinite integral.

Q: Evaluate the double integral : Answer: (3 z? +4 y") dr dy =

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e-2 dx…

A: Given: ∫5ex+2e-x5ex-2e-xdxsubstitute  u=5ex-2x-x     then dudx=5ex+2x-x…

Q: Evaluate the integral гЗл /2 [2 Choose... + r.r dr de л/2

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Q: 5. Evaluate the following integrals: (a) dr, (b) e3 dr.

A:

Q: Evaluate the integral *(2 – 6)"dz 10 - by making the substitution u = x° - 6. + C NOTE: Your answer…

A:

Q: Evaluate the integral: x' In x dx Choose the most appropriate answer. 8 (In æ) 2) + C 8 O (n æ) () -…

A:

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.