Im(iz) ) = Rel(7). %3D

Q: ? Question Calculate * (z3y + 1) y2 dy dr.

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Q: 1 dx J 74+4x²+4

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Q: 1 In (a² + y? + 1) dædy -VI-y? |

A: I use polar conversion method to solve this double integral

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: x5V16x6 – 24x3 + 9 dx -

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Q: の1) (のの) (めみ) Cn %3D Cnt = %3D antt San So,itis increa Sing. @dn=

A: dn=n32n! On simplification, we get dn=n32n·2n-1!=n22·2n-1! Now,…

Q: S'(1 + v=)dz b)

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Q: J 3X+ 9 e dx

A: We will integrate the following expression using Substitution and integration by parts.

Q: S(8x3 + x-3)dx

A: Solve by integration

Q: Sx³ Vx? +4 Svdu- Using Integration By Parts, dx = uv-

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Q: 18 Find J4 dx.

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Q: 16 d :| (2V8– 1) dt da. valuate dr. dx 5.

A: We have evaluate to the given expression

Q: S. y dk t x dly luhere L=

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Q: For x> 0, 음 S"규E dt = Itt? %3D

A: For x>0, we need to find ddx∫1x11+t2dt. Leibniz's rule for differentiation under the integral…

Q: ey+Ve2y-4 5. x = In sove for y' 2 Inr

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Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: f(x) dx = 9.4 and Fx) dx = 3.8, find Ax) dx. If Need Help? RAd i Naer

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Q: d) S 3x²e*dx e) 2t?Vt3 +1 dt

A: evaluate the integrald)∫3x2exdxe)∫022t2t3+1 dt

Q: (3y³ – x³) dx = 3xy² dy; y(1) = 2

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Q: Find d?y/dx? implicitly in terms of x and y. x?y - 3x = 8 dx2

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Q: 1+e4x 1+e9x dx.

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Q: I. Differentiate implicitly to find 1. x3 +y3 10 dx xp %3D 2. x2 + y? = 25 %3D 3. x3 y5 %3D

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve the first three…

Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking 3 h = 0.5, the value…

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Q: Solve by integrating factor by inspection: * 2 ydx — 3хy? dx — хӑу %3D 0

A: Explanation of the answer is as follows

Q: dy х3 + ху? dx 12 ||

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Q: 1 dx V5 ²

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Q: Evaluate 2z dV, where E is the solid hemisphere a + y? + z² 0. E

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Q: At a website, the waiting time X (in minutes) bet ween hits has pdf fx) = 4e ", I20 Ar) = O…

A: Calculate the MGF using the formula.

Q: 4. dx = Inlx -e* +C %3D 5. S 2+3*dx = 4 6. Inlxl + C

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Q: 1 Given y = 3x5 + -, dy is equal to 2x3 dx

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Q: Find the most general antiderivative, (5e 3x -4 e-X) dx

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: x2 dx V4 – x2

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Q: E(XY)=?

A: Given Data: f(x,y)=17x2y             for (x,y)=(1,1), (1,2), (2,1)           =0…

Q: Find the antiderivative of dx/(49x2+16)2

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Q: ) PV Is AN ALTITVOE TO OI メーD エF 41 = Sx+S エ FINO Mメエ

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: dy 16t dt

A: answer is in next step

Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: For what value of c does dt = 1? %3D e0.2t Need Help? Read It

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Q: 6x V3x4 +2 dx

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Q: Evaluate [(x² +2) dx , using Trapezoidal rule, by taking N = 8.

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Q: Q By direct Par tial integration, Solue the following PPE + dy dxdy 2(メ1b)-メ+ そ(29)334

A: Partial integration is a process of integration used to integrate a multivariable function. When a…

Q: Determine dx dy if y = r -e' and x In(4f)

A: (1) first we find dydt (2) Second we find dxdt (3) then we find dydx=dydtdxdt

Q: (a) Use n = 6 subdivisions to approximate the value of Vx + 3 dx by the trapezoidal rule.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (2х — 3)- dx; и %3D 2х— 3

A: Given, ∫2x-3-7dx ;     We have to find the antiderivative using the substitution u = 2x-3

Q: x2 — х + 36 dx х3 + 6х

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Q: J dx 4 + x² =

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