calculate the 4-) integrals rdr a-) b-) (x2-9r+20)dr (-3)a

Q: Find the integral of 2x4(1+x10)-1dx exactly. Show all working.

A: I = ∫2x41+x10-1dxI = ?

Q: What should be the rewrite of the integrand of * (2 x + 5)² so that the resulting integral is…

A: SOLUTION-

Q: Prove without calculating the integrals explicitly that V1 + x³dx < | V1 + x²dx

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Q: Evaluate the integral, 12 sec(4t) dt 2+3 tan (4t) dt = 2+3 tan (4t)

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Q: Use (3) from Section 5.4 to evaluate the integral. In 9 ex dx =

A: Integration of e^x is itself

Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: Calculate the exact value of each definite integral in Exer- cises 47-52 by using properties of…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Use (3) from Section 5.4 to evaluate the integral. "In 4 ex dx =

A: INTEGRATION problem.....

Q: Use the Simpson's Rule to evaluate the integral fx|x²dx 1

A: Given integral is ∫−11xx2dx. We have to evaluate the given integral by using Simpson rule. Here,…

Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: hat should be the rewrite of the integrand of ((2x+5) dy so that the resulting integral is…

A:

Q: Use the substitution æ = 2 tan(0) to evaluate the indefinite integral 4dx V + 4

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using right endpoints with 4 rectangles;…

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Q: Calculate the integral ∞∫−∞dxx2+4.

A:

Q: 2. Use the Comparison Theorem to show that the improper integral dax Va4 diverges. Provide a full…

A: Comparison test:

Q: Evaluate the integrals in Exercises

A: 47. ∫sech2x-12 dx48. ∫ csch25-x dx

Q: S 2tanzx

A:

Q: 2. Use Cauchy's Integral formula, Evaluate the following • I= sin4z ,IZl= 3

A: I am attaching image so that you understand each and every step.

Q: Compute the double integral given by rcose psinedpde

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Q: Evaluate the integral of fx³dydx

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Q: bounded by + 22 %3D

A: z&gt;0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle…

Q: Solve for DE: separable DE

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Q: 2 5 6z³ -8z¹+2z² 4 Z dz

A:

Q: loS dt:

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Q: 7 1 dv = -7 V

A:

Q: Show in paper. Find the integral of (2xcot(x) csc²(x)) dx.

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Q: Use (3) from Section 5.4 to evaluate the integral. In 2 ex dx = /1

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Q: The value of The binary integral is dxdy Luherea andb positive 80 -xy real constants) be

A:

Q: Evaluate the integral of x³dx 1- 4x2

A: NOTE: Refresh your page if you can't see any equations. . .............(1) take  . ............put…

Q: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?.…

A:

Q: Evaluate the line integral S. 4x²ds, where C is the line segment from (-2, –1) to (0,–1) followed by…

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Q: (a) (1 point) Set up an integral to compute fx+Y with explicit endpoints of integr.

A: Solution

Q: What is the integrable form of dr? du u du

A: Given integral is:

Q: Evaluate the indefinite integral. (7z + 7 71 + -dr Jz² +1

A: Given,          ∫7x+7x2+1dx

Q: prove that (z(square root 2,+,×)) is integral domain.

A: We have , ℤ2   =  a + b2 / a , b ∈ ℤ We need to show that  , ℤ2 is integral domain. We know that , a…

Q: Evaluate the double integral ſ IN ydxdy.

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

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Q: Find the integral / q² In(6q) dq. q² In(6q) dq = +C

A: Explanation of the answer is as follows

Q: 9. Convert ¹42(4-4x²-y²)dydr into a triple integral with dV = dydzdx.

A: Here we conside the limits of x nad y then we try to find the limit of z for which after integrating…

Q: Compute the integral S do 2-sin 0 *

A: Apply linearity: Apply tangent half-angle substitution:

Q: Evaluate the integral. dx xV 49x2 - 6

A: Given that: ∫dxx49x2-6

Q: find integral of 8xsin(4x2)

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Q: Evaluate the improper integral or state that it is divergent. dt 2 - 3t 4-

A: Given that: ∫4∞dtt2-3t

Q: Calculate the integral   ∫2x^5dx

A:

Q: Evaluate the integral: æ V81 *Vs1 – z'da -

A:

Q: Evaluate the improper Integral if it is coviverigent dx 4tx 2.

A: To evaluate: ∫0∞dx4+x2

Q: Evaluate the integral: –(9z²+7x) dr %3D (1-1)(z+1)²

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx

Q: Use (3) from Section 5.4 to evaluate the integral. In 6 e* dx =

A: