The product of x* + x³ + 2x² and 2x² + 4x + 6 in z, [x]/< x³ + 1> is: 5x^2+ 5x +1 O None O x*2+2 4x+1

Q: Express the integrand as a sum of partial fractions and evaluate the integral. + 5x + 10 xp- x3 - 1

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Q: x² + x – 2 (3x – 1)(x² + 1)

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Q: rivial of

A: To find the non trivial of Z8 as,

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: Express the integrand as a sum of partial fractions and evaluate the integral. 22dx S 2 x²-1

A: This question is based on indefinite integral using partial fraction.

Q: Show that, cosh-1 x = In (x + /x² – 1)|

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Q: -25 Evaluate the integral: dax x²Vx2 +25

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Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: Evaluate the integral. 6 1 (x² - 1)3/2 2 (x²

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Q: Evaluate the integral. 5x а. (25x²-10x +198)+c 125 Ob. (25x²+10x-202)+c 125 e -(25x²– 10x - 201)+ c…

A: The given integral is ∫x2-8e5xdx. Here we use the integration by parts formula:…

Q: Evaluate the integral ſ 2x²Vx³ + 2. Show all steps.

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Q: 12 Integrate: ,V4 - z² + dr

A: The given function is 4-x2+x7+24-x2 We have to integrate this function over the interval -2, 2

Q: evaulate the indefinite integral  4x^3+2x^2+6x-5/(x^4-x^3)

A: Firstly, We factorize the denominator

Q: Use any method to evaluate the integral. 4 - 4-X xp- 4X + 4-X

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Q: 2- S --y Vty zdzdxdy

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Q: Show that - In(x – V - 1) = In(x + Vr – 1)

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Q: Evaluate the integral of * xdx Vx2-6х +13 |x-3+ (x-3)- 3 In Scx – 3)² – 4 + c x-3 3 In 6x +13 Option…

A: Explained below

Q: Evaluate the integral: Sen(1²2+3x-7) е dx A x² + 5x+In 3x-6|+C XZ B +5x+31n|x-2|+C 2 C x ²2+ = +…

A: On solving this we will get

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

A:

Q: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

A: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

Q: The integral of f 2rVr² - 5dx by substitution method is 3(z 5) + C 2. 2(r 5) +C 3. 3(z 5) 21 2( 5)

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 3x2 - 11x + 4 dx x3 -…

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Q: Evaluate the integral of x³dx 1- 4x2

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

Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: Evaluate the integral 4-x² ^2+/4-x²-y² 2 (x² + y² + z²)³/²dzdydx -2 J-V4-x² J2-V4-x²-y²

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² + 4x +7 S™x -dx…

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Q: Evaluate the integral [5x/( x²+1)(2x-2).

A: Given, the integral

Q: 1. Express into parital fraction. Hence evaluate y2 -4 *2-4

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: Evaluate the integral. '3 4,3 3,2 dt -

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Q: Find the integral of -7x^2+1 / (x^2-2)^5

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Q: Show that 1 sech-1x = In x2

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 4x3 - 5x2 + 8x - 10…

A: Given ∫4x3-5x2+8x-10(x2+2)(x-2)3dx Sum of partial fraction for the above question are Now consider…

Q: Calculate the definite integral goven belaw 2 3x- 3 x2 - 2x + 6 -2

A: Using substitution method

Q: Prove this Adams-Bashforth method using polynomial interpolation and prove it's second order…

A: As per the question  we have to derive the two-step Adams-Bashforth method by using polynomial…

Q: Find the expansion of (x + y)4 using Binomial Theorem.

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Q: the infinite integral of 3x^4-2x^3+6x^2+23x+7/x^2-2x+5

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Q: 3)(2x-ズ) ax

A: First I have split the integral in two parts then just use the rule of integral and find the…

Q: Find the integr

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Q: Evaluate the integral. 0.8 V 16 - 25x2

A: The given integral is  ∫00.8x216-25x2dx

Q: find integral of 8xsin(4x2)

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Q: Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

A: Let f(x) = x8 — x. Over Q,f(x) = x(x7 — 1) = xϕ1xϕ7x=xx-11+x+...+x6 Note that  ϕ1x and ϕ7x are…

Q: Find the interval and radius of conv. of In(1 – x²)

A: The power series representation of given function ln1-x2 is given by: ln1-x2=∑n=1∞-x2nn

Q: Evaluate the integral. 5) 5.7x 5 dx 9 - 4 A) -- In|9 - 7x |+ C B) -5 In|-9 + 7x | + c 5 C) In|-9 +…

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

Q: Evaluate the indefinite integral. 4x-3/(4x^2-6x+6)^5dx

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

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx

Q: Prove that: 3-4x² dx 4VIn3

A: The given integral is I=∫0∞3-4x2dx. The idea is to evaluate the above integral using gamma function.…