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Q: / Rinel extrams Values af RcXy) H23-46Subjeetel to %3D

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Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: Find the area enclosed by one leaf of the rose r= 5 cos (70).

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Q: Find the value af Z そf え e = 1+3 i

A: for log of complex number we know that, x + iy = log(a+ib) then, x + iy = log|r| + i(theta) where,…

Q: Evaluate : J x dx, where neN.

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Q: Integrate the following expressions: Sex-e (2x – e*). dx !! (x + cos2x). dx "/2 X cos2x.dx

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Q: 3 Given that 3. e dx = e° - e, use this result to evaluate 3ex + 4 dx.

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Q: If x dx = 1, what is the value of a? %3D D. O 0.707 O 0.794 O 0.874 O 1.145 1.442 0 0

A: We can find the value of a as below.

Q: ev dx is equal to which of the following? Using the substitution u=v .2 B 2 e"du 16 © 2 e"du ,2 e"du

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Q: For which value of p does dx 1.25? %3D

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Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

Q: [(e+1)?dx is equal to * The

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Evaluate the 2 intergrals attached as images with the question.

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Q: Q. Integrate the following: Se cscx secx dx

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Q: 5dz 1. (:+4)VE+1

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Q: In5 (x + 1)²e* dx

A: Given, ∫0ln5x+12exdx  We have to evaluate the integral and simplify.

Q: |Q3/ By using definition, proof that d cot x dx - csc? x.

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Q: Cosot tunpt H %3D then G)= 22

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Q: Which of the following is an/are anti-derivative(s) of – 36 cot (18x) cosec? (18x) |18cosec? (18æ)…

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Q: – 1)*dx

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Q: 7. Find (a). pln e" sec? e" dx (b). 2V5x3+4 dx

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Q: IxV In?x + 1 In x dx V In² x + 1

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Q: Evaluate and simplify the following expression. d cos(x) Vt3 +1dt dx ex

A: Given:  ddx∫excos(x)t3+1dtFormula: ddx∫a(x)b(x)f(x,y)dy =∫a(x)b(x)∂ f(x,y)∂x…

Q: calculate MN and TN for the value of N indicated.

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Q: 7 Ja? Calculate 5x dx, given the following. 6. 7. 6. 386 X dx%3D 3 x dx= 16.5 x dx = 93 2. 4

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Q: 1. For what values of p is O'dx?

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

Q: If the approximated value of , 16x³ dx using Simpson's rule is 260.03, then the error in the…

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Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: Use this rule to differentiate xP. d P = (Type an exact answer.) dx

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Q: eg Show thaf Full likely hod ven by W - M

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Q: To find the blue shaded area above, we would calculate: | f(x)dx = area Where: %3D

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Q: d = e*, we must have that fe'dx = e*. Since dle)=e", %3D

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Q: When x* cos(x?) dx is evaluated using IBP, the value of v du is?

A: Evaluate ∫x3cosx2dx using IBP ( Integration by parts) then ∫vdu is.

Q: dx If S V(4+x?)3 = Sh(0) d0, then h(0) de %3D A 1 D 4 (B

A: Given : ∫dx(4 + x2)3 = ∫h(θ) dθ   To find ∫0π2 h(θ) dθ.

Q: 24. (х? + 2х + у) dx + 2dy %3D 0

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Q: a) Verify the following result: 8. T(1 – x2)?dx = 15"

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Given that f(t)dz what is 13 f(s)ds? 11 enswar

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Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: Which of the following is equal to – 7æ)*dx = . %3D

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Q: ex (d) X+1

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Q: * Please explain how to get from A to B using the above imstRuction s Tha ncs 0.11 9.0909 > x…

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Q: Evaluate 22 dV, where E is the solid hemisphere x +y² + z2 0- E

A: The given region E is x2+y2+z2≤4 and z≥0.Considerx2+y2+z2=4z=4-x2-y2Put z=0,thenx2+y2=4It is circle…

Q: d Q3/ By using definition, proof that cot x = – csc² x . dx |

A: Derivative of cotx with respect to x is csc2x.

Q: Express cos J as a fraction in simplest terms. 40 L. K 6.

A: The given triangle is

Q: (3) ds V3s2 + 1 (4) / sec?(3/t) dt VE

A: Note: As per companys guidelines we are supposed to solve only 1 question ∫s33s2+1dsSubstitute…

Q: m FGH F リ to H. m FGH = %3D

A: Given  Circle having center somewhere at Fh. To find the ∠FGH

Q: Ex Find the Salution of the sliff. equ. + 2x° cosx, given that yf z dx

A: Here we have to solve differential equation