Evaluate the integral.  integral from -7 to 0 and integral from -5 to 0 (5x-6y) dydx   a)- 175/2 b)-5/2 c)-25/2 d)-35/2

Q: Use the table of integrals to evaluate the integral. 2 [²³15x³√4x² 15x³ 4x²x4 dx

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Q: Noting the range of the integral, compute .2 Jo (2² + 9)2dx.

A: By using inequality of integration

Q: gralof 1/x from ac to bc (0<a<b) is the same as th

A: The purpose is to prove that , ∫ab1x dx=∫acbc1x dx The  integral of 1/x from a to b.…

Q: Evaluate the integral. 3 + -u du 3

A:

Q: The integral from 2 to infinity of 6/((x+5)^(3/2))

A: ∫2∞6x+532

Q: Use substitution to change the integral SS(3x + 4y)dA over the parallelogram with corners (0, 0),…

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Q: 2. In r dr

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x2…

A: Given:

Q: tVt2 + 2dt.

A: we can evaluate  the given integral by substitution method(Substitute  u=t²+2).

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. [²4x³…

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Q: Evaluate the iterated integral / / хуdydxdz. Do not round. Give the answer in the form of the common…

A: Given: I=∫02∫04-z2∫0xxydydxdz   As we know that; The Power rule: ∫xndx=xn+1n+1+C

Q: /2 Inxex

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (5x² +…

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Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: Evaluate the integral. ∫π/4  π /2 Cot3xdx

A: Given: ∫π4π2   cot3 x dxTrigonometry Identity:cot2x=csc2x-1

Q: Evaluate the integral or show that it is divergent.

A: Introduction -  Evaluating the integral of the given function - f(x) = ∫0112-3xdx f(x) = -∫0113x-2dx…

Q: Evaluate the integral. ∫0 π/4 tan4 θ Sec4 θ dθ

A: Given :          ∫0π4tan4 θ Sec4 θ dθ

Q: Evaluate the integral. 24. '8 -2/3 dx

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Q: Evaluate the integral: /25 – z z²dz

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Q: Find all Integers a so that the area enclosed by the lines y=ax,y=0 and x + 2y-4=0 is a natural…

A: To find: All integers a so that area enclosed by the lines y=ax, y=0, and x + 2y-4=0 is a natural…

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x2 +…

A:

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (18…

A: ∫3718-6xdx

Q: Evaluate the integral by making an appropriate change of variables.   7(x + y) ex2 − y2 dA,…

A:

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 7 (x2…

A: Given,           ∫17x2−4x+7dx

Q: Find the integral t5sin

A: let  I=∫t5sin(t6)dtsubstitutet6=udifferentiate6t5dt=duort5dt=16du

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 * O 0.412 O 0.211 O 0.189 O 0.316

A: Evaluate definite Integral

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 6. (x2…

A: To Evaluate: The integral function using theorem 4.

Q: COSz Show, without evaluating the integral, that z2(z + 1) *26 5 zp-

A: Given integral is , ∫ccoszz2z+1dz. Cauchy residue test: ∮fzdx=2πib1. Where b1is residue of fz.…

Q: Evaluate the integral (2³ + 1)'/³,³dx.

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Q: Evaluate the integral.   ∫13 r3 In r dr

A: The integral given is ∫13r3lnr dr. Solve the integral by integration b parts, ∫ fx gx dx= fx∫  gx dx…

Q: Evaluate the integral: 36 - а2 -de 4x2

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. '4 (x2…

A: Using the definition of integral.

Q: To evaluate the integrals by Cauchy Integral Formula or the Extension of the Cauchy Integral…

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Q: Evaluate the integral. a sec (4x) da =

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Q: Evaluate the integral. Snip

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Q: Use tlie kesidlue theorem and colaula re the integral (x-0 (x12)(x-i)(x+i)

A: Consider the given integral. I=∫-∞∞1x-1x+2x-ix+idx The residue theorem is defined as.…

Q: find integral of 1/(5+4cosx)

A: Given:

Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

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Q: So I need to keep the 4 and the cubed in the integral??

A: Yes, you have missed the "4" and the cube.

Q: Evaluate the integral. ∫π/6  π /2 Cot2x  dx

A: The given integral is y=∫π6π2cot2xdx A function can only be integrable if the domain is defined.…

Q: Evaluate the integral: =°/1+ 64z*dz

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Q: Evaluate the integral. 7/3 sec (0) de

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x2 4x…

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 6. (x2…

A: Given,            ∫16x2 - 4x + 7 dx

Q: Evaluate the integral using substitution as an aid: x (2x* + 1)2dx

A: Consider the integral

Q: Evaluate the integral cot 2x cot2 2x – 15

A: We integrate using substitution.

Q: Evaluate the integral * -In2 2e0 cosh 0 do -In4

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Q: Calculate the integral ∞∫0dxx2+16.

A: These are called improper integrals so in this case,…