Find mZT. 21/2 21/2 mZT = %3D ST

Q: x e2x dv

A:

Q: 1. + dv

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

Q: SX In2x dx

A: given :

Q: S x²(csc2x³)(cot2x³)dx

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Q: Evaluate the integrals

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: T(4)[ (3.5) dx

A: In this question, we have to simplify the expression by using the Gamma function and the spacial…

Q: S. 14 V1 + 7x dx

A:

Q: ㅇ MN 쓸 PR ZN = ZQ NO 스 QR LM 쓴 LP

A:

Q: Se csc x dx

A: Given: I=∫cosecxdx For evaluating given integral, we multiply and divide given expression with…

Q: 33x хе x³e³x dx S

A: This question is based on integral by parts.

Q: 5 dx = 4

A:

Q: S e2x+4vã dx

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: 5s L |(s – 2)

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Q: 3. ſ cot 3x csc³3x dx

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Q: () Stany" (secx)"dx 4.

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Q: L M X 58 t/d/ Iznyyll}

A: Solve the given tringle for side x

Q: 3 LS 2dydx = 4 %3D О 20 30 О 30 О 15

A: Integrate the given double integration in given order. First Integrate with respect to y and than…

Q: S Vx2 – 49 dx

A:

Q: S sixicosx dx 05

A: Evaluate the integral as follows. Let u = cos x. Then,

Q: S Vx8 – 6x6 + 9x4 dx is equal to -

A: The equation of integral is ∫x8-6x6+9x4dx.

Q: S S( 3x² +x³y)dxdy

A: Evaluate ∫13∫023x2+x3ydxdy=?

Q: 4 6 dx

A: Definite integral: - The area underneath a curve between 2 set bounds is named a certain integral.…

Q: A) Solve for the indicated variable.Volume of a Rectangular PrismSolve for l in V = lwh. l =…

A: A) We need to solve for l in the equation

Q: Vx+8 e following.

A: the question is taken from function and in which we have to find the composite function we write the…

Q: S xlnx dx

A: We have to solve

Q: Sub. sefve the intetal equation UL) = (X-1)e-< +4/ e

A:

Q: 3s – 137 L(f) s2 + 2s + 401

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Q: Find L{6t}. L{t} = = s2

A: Use linearity of Laplace transform.

Q: Cost 3x dх

A: The objective of the question is evaluate the indefinite integral.

Q: 10.S vx csc(xvx) cot(xvx )dx

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Q: p dx. -3x (h)

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Q: S dx 4+e*

A: follow next step

Q: хt — х +6 dx х3 + Зх

A: We shall use polynomial long division method to simplify our integrand.

Q: ×+4メ+ム dx

A: We have to evaluate the given integral.

Q: L{costy3} =.....

A: The Laplace transform of a function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We…

Q: (Tælß) = (a|T"ß) %3D

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Q: (b) 를/ dx 3

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Q: 6) dx

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Q: Solve V = LWH for W.

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Q: S cot54x dx

A: ∫cot5(4x) dx Lets apply u- substitution method let u=4xdu=4 dxdx=du4 ∫cot5(4x) dx∫cot5(u)…

Q: 6. Se's csec²x dx tanx

A: To find the integral

Q: 3. S V5 + Vx dx

A: Given the indefinite integral I=∫5+xdx           .......(1)

Q: 4 – Vx dx

A:

Q: 4. S x²V9 – x² dx

A: the given integral is: ∫x29-x2dx we have to evaluate the given integral.

Q: 51. $ dx ах

A: Explanation of the answer is as follows

Q: У 3 и(а соs y

A: Given:    y = ua cos u + b cot u

Q: 'V8 + æ°dx

A: Let the indefinite integral be, ∫x28+x3dx Put x3=t. Then, differentiate on both sides gives,…

Q: 76 dx

A: Indefinite integral is given as  For the evaluating this we are using integral formula of xn as…

Q: L eat dt

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.