Determine the following indefinite integral. 324 dx, x> In 18 A dx 324- e2x Type an exact answer. Use C as the arbitrary constant.) 9:

Q: 2. Compute the indefinite integral xe dx

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Q: 2. Find the following indefinite integrals. 1 dx (a) 16 – [In(x)]² 1 xp (b) | x?+ 2x + 26 / A 1 (c)…

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Q: he resulting integral of dx is ax + b ln x -Arctan +C, where a, b, d, e, and x3-2x2+5x are integers.…

A: b=2

Q: 14e" dx 1+ e20

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Q: tan (In 4x) cos (In |(2x)"|)|+C. what is b? The integral of dx is b In A B 2 4 4

A: Given :  ∫tan(ln|4x2|)xdx=bln(|cos(ln|(2x)a|)| +C   To find : Value of b

Q: Find the following indefinite integral. (5 -0.25x Jox=D -0.25x +3e d%xD (Type an exact answer in…

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Q: Evaluate the integral [e2 cos(2x)dx.

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Q: 1 Find the indefinite integral || e* + dx 1+x?

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Q: Find the indefinite integral ∫(ti + 3j) dt.

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Q: b) [ cos 20 do 5+4cos 0 BAŞARILAR

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Q: Q1/ Use Gauss-Legendre formula to evaluate the integral o e-dx withn= 3.

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

Q: e2¤ (e-ª + e*)dx

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Q: Find the indefinite integral cos t dt. 4 cos t dt=

A: We have to find solve

Q: Evaluate the definite integral. 8t dt ° (3+ e)2 e 8f dt = (3+ e )? (Type an exact answer in terms of…

A: Here we have to solve definite integral

Q: 3. S e*V1– e*dx

A:

Q: eby dy J 13 + e12y

A: ∫e6y13+e12ydy =∫e6y13+e6y2dy.............(t1) take  v=e6y dv=6e6y dy dv6e6y=dy…

Q: evaluate the indefinite integral.

A: To evaluate:

Q: Determine the following indefinite integral. 1 dy 14y

A: To evaluate:   ∫114ydy Property of integration used, 1. ∫cfxdx=c∫fxdx                           …12.…

Q: 1. Compute the following integrals. (a) sin (e) dx. 4 dx. - (b) x2

A: we have to calculate integration

Q: Find the following indefinite integrals if a, b and c are positive real numbers, with a +-1 and b +…

A: Note that a≠-1 and b≠ 1    then we can solve these integral

Q: dy -1

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Q: Find the indefinite integral. ∫(e1t/t2) dt

A: Given: I=∫e1tt2dt for evaluating given integral, in given integral we substitute  1t=p…

Q: Evaluate the integral. (Use C for the constant of integration.)  e−θ cos(6θ) dθ

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Q: Determine the following indefinite integral. X 15-02 ex dx = dx, x < In 3 9- e 2x (Type an exact…

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Q: Use a table of integrals to find the indefinite integral ∫ 1/ t[1 + (ln t)2] dt

A: Rewrite the given integral as shown below: ∫1t1+lnt2dt=∫1t1+ln2tdt

Q: Determine the following indefinite integral. /) dx ,9 dx =

A: Given:                      ∫x5-x95dx               =∫x52-x95dx              =∫x52dx-∫x95dx…

Q: Evaluate the integral. integral  cos 3x e x dx

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Q: Find the indefinite integral ∫ t/√(1 − t4) dt

A: Given integral, ∫t1-t4 dt

Q: d) Determine the infinite integrals of the following e+2 i. ii. 2 3 sin2x dx

A: Evaluation of the integral

Q: d) Determine the infinite integrals of the following i. ii. JF 3 sin2x dx

A: Evaluate the definite Integral

Q: Evaluate the following integral as written. In 8 8 5y dx dy 0 ey In 8 8 | dx dy = (Type an exact…

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Q: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

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Q: Evaluate the following integral. dx 1+ e2x - In 13 ex dx = 2x 1+ - In 13 (Type an exact answer.)

A: ..............(1) take ................put it back in equation 1

Q: Evaluate the integral. (Use C for the constant of integration.) e^−θ cos(3θ) dθ

A: ∫e-θcos3θdθ We need to Evaluate the integral Using C for the constant of integration.

Q: a) Evaluate the integrals using appropriate substitutions. dx Sine i) S ii) S de Cos? 0+1 1+16x?

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

Q: Evaluate the indefinite integral.

A:

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 e 2x dx…

A: The given definite integral,         ∫028 e2xdx

Q: Find the general indefinite integral using definition. (3t*-t3+6t2 b) S(3 sin x – 4e* + 5* + 6) dx -

A: Integration Question

Q: Evaluate the integral. (Use C for the constant of integration.) cos 30 de

A:

Q: 10. Find the indefinite integral. Te cos 3t dt dv u = du = v =

A: Given integration is : ∫e9tcos3t dt   To find the value of integration.

Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: 1. Evaluate the following integral by changing the order of integration. I| Cos(2*) dx dy

A: Topic: integration

Q: Evaluate the following indefinite integrals. Show your solution. 1. f5 einx(sin x + cos x) dx ecos…

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Q: Evaluate the following integral. 16 dx 1- vx 16 dx | (Type an exact answer.) 1-

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Q: 14. VE (t² + 3t + 2) dt

A: We use the formula integration of xn dx=xn+1/(n+1). See 2nd step.

Q: Evaluate the definite integral. integral (lower 0, upper 3) t^3 sin(t^4) dt  =

A: We have to solve the definite integral