Direction: Evaluate the following integrals. 25x3 1. S 30x5 + 20x7 dx 4 3

Q: S 16x (8x? – 1)³ dx 6x2 dx x3+8

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Q: Rewrite each of the following triple integrals in the indicated order. 4-x 12-За-6у (a) / dz dy dx…

A: a) Given integral is   ∫04∫04-x2∫012-3x-6y4dzdydx we have to change the given order of integration…

Q: 6x(a3x*-1) dx 4.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Evaluate the integral :(x² + y* )dzc>xcy = ?

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Q: | (7zr³ + 4x? (7z" + 4.a² + 1) d.æ

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Q: luate the integral. -1 y6 -5y² dy y5 - 4 |

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Q: Q5. Sketch, evaluate, and reverse the integral: [[* dy dx/

A: 5. Given integral is ∫02∫1ex dy dx   To sketch, evaluate and reverse the integral.

Q: b.) 3 dx 5/3

A: We will use substitution method.

Q: ate the integral. (Use C for the dx xV 4x* - 1

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Q: 4х + 10 7. (г — 2) (ӕ — 1)? dx -

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Q: T 11x + 29 dx The integral is equal to

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Q: Tπ L2 sin3xdx Tπ 4

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Q: alculate the integral, assuming that 6 f(x) dx = -13 and f g(x) dx = 36. %3D %3D Give your answer as…

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Q: Exercise 4. If | f(x) – 29(x)dx = 6 & 2f (x) + 2g(x)dx = 9, what is the value of the following…

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Q: What is the value of the integral 1∫0 1∫y x2exydxdy? a) e b) e/2-1 c) 1 d) e2 e) none

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Q: hello! can you help me with this calculus problem?

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Q: If 5 y(u)du = and 5 | u(2)du what does the following integral equal? y(u)du =

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Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: Evaluate the triple integral: A) 18 B) 24 C) 12 D) 6 3 2 S²³² S²(x+y+z)dydxdz 0

A: We have to find the value of given integral

Q: Evaluate the Integral. V14 |x? dx O A. 196 V14 O B. 3. 14/14 OC. 14 OD. 3

A: topic - definite integral

Q: Evaluate the improper integral: dx b) Odiverges c) 14 d) -4 e) 8 a)

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Q: If | h(w)dw = 16 and | h(w)dw = 4.7 what does the following integral equal? h(w)dw =

A: Given ∫-64hwdw=16 and ∫04hwdw=4.7 We have to find value of ∫-60hwdw We know that ∫abfxdx=-∫bafxdx…

Q: Change the order of integration and show that both orders yield the same area. 14 - x dy dx 14 dy dx…

A: By reversing the order of integration problem is solved

Q: (STス)ス3da

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Q: 3. fv' 9-y°dy 4. fxsin xdx

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Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x…

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Q: Evaluate the integral frever se 2. 2. SS 24 S sinxy ds dx

A: According to the given information it is required to evaluate the given integral:

Q: Find the value of the integral of , 2x? dx. a. 2 b.24 c. 6 d. 8

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Q: Use the indicated substitution to evaluate the integral. 1 dx, x = 15 sec(0) xVx² – 225

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Q: 2x+3 (2x² + 6x − 1) b. f 1)s dx

A: B only Integrals by Substitutions

Q: Q3 - Evaluate the following integrals i. S7 xp V9-x2

A: Use substitution method

Q: Find the integral by using the integral table on the inside back cover. (Rer 25x2 +36 dx + C

A: We will use substitution

Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

Q: Calculate the following integral, La CUP x6 (x4 + a4)² a4 ) 2 dx, (a > 0).

A: In the given indefinite integral. The method of substitution is used to simplify the integrand.…

Q: Use the substitution formula to evaluate the integral. , π/2 20) cot x csco x dx T/6

A: on solving this we get

Q: Use integration by parts to find the following integral.  ∫ 7xln ( x ) dx

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Q: Use Simpson's to approximate the integral 2+x* dx, n=4.

A: The integral is ∫012+x4 dx, n=4

Q: O Evaluate the integrals Jscx+y+2?s da dy dx-

A: according to the guidelines we should have been able to do only one question at a time #1-a

Q: 2x3 + 4x² + 7r – 6 dx 1. x4 – 3x² – 4 |

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Which of the following uses integration by parts? (3) fxlnxcx In x dx ... (1) fxcosx'dx (2) fre*dx…

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Q: Evaluate the integral and check your answer by differentiating. ∫ (2+y2)2 dy

A: The given integral is ∫ 2+y22 dy. Evaluate as follows.

Q: Evaluate the following integrals. Show your complete solution, take a photo your work and upload it…

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Q: Find the most general antiderivative or indefinite integral. C 4 csc 2x dx 4 csc c 2x dx D|

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Q: Sx² Vx – I dx

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

Q: what does the following integral equal? L 9(2)dz - [ = ['s g(z)dz = 23 and g(z)dz = 6.5

A: Given:             ∫-9-1gzdz=23              ∫-4-1gzdz=6.5              ∫-1-4gzdz=-∫-4-1gzdz

Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: Evaluate the integral. 28) dx X + 1593 765 A) 93 B) 1584 21 21

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Q: The value of the double integral || 10 dæ dy is - 80 O - 160 80 O 160

A: Given that ∫04∫0210dxdy find out the value of the double integral