csc? (2x) dx 1 + 5cot² (2x)

Q: Using Integration by Parts :-In the given equation as follows, use integration by parts to find the…

A: Definition -               Integration by part -                                ∫udv= uv-∫vdu

Q: 10 csc² (x)dx Evaluate the definite integral. Use exact trig values in your answer. 5

A:

Q: Question: Integrate the following indefinite integrals. Inx dx a) J x+4x Inx2 b) ſe2x cos3x dx

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: S sec? (;x + 4)dx ec²Gx

A:

Q: Evaluate the indefinite integral / ( 3: x? + 2 + 4 dx x2 Evaluate the indefinite integral 3 + 5e* )…

A: Given : ∫3x2 + 2x2 + 4dx∫3x + 5exdx

Q: x-2x+4 dx = Evaluate the definite integral х

A:

Q: Question Using integration by parts, the integral f(9x 3)e*dx is equal to:

A: Given: ∫(9x-3)e3xdx Integration by parts: ∫uv dx=u∫v dx-∫dudx∫v dxdx Where, v and u functions of x

Q: 2 17. x3 – 2x da

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Evaluate the indefinite integral: (2+ e7=)© dx

A:

Q: Sx sin(6x² + 2) dx

A: Given that  I=∫xsin6x2+2dx Here we use the substitution technique.

Q: Evaluate the definite integral 4x² + 3 -dx

A: Let's find.

Q: .2 dx -2

A: To evaluate  ∫-2bx2-xdx where b is a positive number.

Q: Find the indefinite integral. sinh(8 - 5x) dx

A:

Q: ∫-10 − x2 (4x3 +5)3 dx Determine the value of the definite integral given above. Enter your answer…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 30 cos 30 de Need Help? Watch…

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: dx 2. Using suitable substitution evaluate the definite integral: (7 – 5x)² 1.

A: To evaluate the integral:- I = ∫0117-5x23dx I = ∫0117-5x213dxI = ∫0117-5x23dx

Q: *definite integral* (b=10) (a=0)   (10e^(-x))((x^3)+2(x^2)-3x+1)   dx

A: Our aim is to compute the integral of the function given below:- ∫010(10x3ex +2x2-(3x+1))dx…

Q: Evaluate the definite integral from 0 to 1,  x^29e^-x^(30) dx

A: follow next step

Q: g3 (*° – 2x² + 1)dx 9. Evaluate the definite integrals (give exact answers): •3 a) | (2x+3)(x – 5)dx…

A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to…

Q: 2x e - dx e +1 Evaluate the definite integral. Provide exact answer: 2x

A: An important formula of integration is, ∫f'xfxdx=lnfx+C ......1 Rewrite the given integrand.…

Q: dx

A:

Q: *x³ + 1 In solving for the -dx, what technique is suited to solve for its integral? x²+1 A…

A: The solution is given below

Q: 5. 3 :) dx 'tan x cos x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Review of Definite & Indefinite Integrals 1 dx is -da The value of

A: In definite integral we take upper limit and lower limit but indefinite represents family of…

Q: 1. 2²₂(3x-4)dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. Estimate f 2*-1 dx using L,. Is the estimate you get an overestimate or underestimate of the 1…

A:

Q: ∫-10  x2 (4x3 +5)3  dx Determine the value of the definite integral given above. Enter your answer…

A: Given,

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

A:

Q: sin-cos-sino de has the form - 2 The resulting integral of + C. What should be the value of 0 to…

A: To evaluate the integral ,use the following trigonometric formulas.

Q: 13. Use u-substitution to evaluate the following indefinite integrals. Give your final answer in…

A:

Q: √√√√3²-1 For the integral X What is the re-write of this integral? -dx, let z= x² - 1.

A:

Q: Definite Integral. 2.) S x²(2x³ + 1)*dx 4.) x?e*dx 6.) f- xp:

A: Given: ∫02x2exdx To find: evaluate the given integral

Q: 2x – x3 dx J (x – 1)2(x² + 1)

A:

Q: Question * Using integration by parts, the integral f (9x-3)e3*dx is equal to:

A: We have to integrate

Q: Evaluate the integral. (Use C for the constant of integration.) x4e4x5 dx

A: The solution as follows:-

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

A:

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: We use integration by parts to solve this integration but first use substitution method

Q: Question: Integrate the following indefinite integrals. Inx dx a) S x+4x Inx? b) ſe2* cos3x dx

A: a) Given: I1=∫ln x dxx+4x ln x2  ……1

Q: True or False: The definite integral 2 Lux+ is equal to Select one: O True O False (x + 3e*)dx 2 2…

A:

Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

A:

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

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Q: Find the indefinite integral. (Use C for the constant of integration.)   e5x − e2x + 1

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Q: Evaluate the integral. (Use C for the constant of integration.)   (x2.8 + x−1.3) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.6 + 9x3.5) dx…

A: Here we find the indefinite integral∫(x1.6+9x3.5) dx

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

A: The value of the integral ∫xndx=xn+1n+1+C.

Q: 1 dx (3-2х)2021

A: Solve the following integral

Q: C. Evaluate the definite integrals ( show your solutions) 1. S, (x³ – 6x² + 2x)dx - TT 2. 3 cos3…

A: The given questions can be done as follow:

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.