5. x' sin xdx

Q: -X -dx

A: We know, ∫uv dx = u∫v dx - ∫ddx(u)·∫v dx dx           (integration by parts) ∫1a2-x2 dx = sin-1xa +…

Q: Use a symbolic integration utility to find the indefinite integral. (Use C for the constant of…

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Q: integral of ln x4/x dx

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Q: (x2 – 1)*(2x) dx

A: Integration by substitutions

Q: sinh x tex cosh x + ex In the indefinite Integral in(cosh x + e*)- sinh x + ex A cosh x + ex sinh x…

A: In this question, we want to know the integrand of the given Integral.

Q: Estimate integal compasite. tropezoidal the Sint Using Yule. with h-0.25. Subject:. Numerical method

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Q: Determine the indefinite integral. Check your work by differentiation. 5+ Vx dx

A: Given : ∫5+x3xdx

Q: integral by using Gamma function

A: We have to solve the given integral ∫-∞∞e-ax2dx where a>0 The given function is f(x)=e-ax2

Q: Find the indefinite integral.

A: Given: Let I=∫csc2 xcot3 x dx To Find: To evaluate the given integral.

Q: integral of tanx/(secx+4cosx

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Q: Evauate the definite integral. Use an appropriate substitution. Give the exal value as a fraction.…

A: To find : ∫12xx2+13dx Let u=x2+1. Then       dudx=2xdx=du2x ∫x(x2+1)3dx=∫xu32xdu…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.)   etan(38x) sec2(38x) dx

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Q: Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) dx =…

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Q: integral arctan (1/x)dx

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Q: indefinite integral of x3 dx

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Q: Definite integral

A: Given :Definite integral

Q: 3+5) cos

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Q: 24) Using Numerical Integration to estimate area between curve (y=2-x²) and line (y=-x), with n=3

A: We have y=2-x2, y=-x then intersection point is -x=2-x2 ⇒x2-x-2=0 ⇒ x2-2x+x-2=0 ⇒ (x-2)(x+1)=0⇒x=-1,…

Q: Integral of x^7 Inx dx

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (sec(x)tan(x) – 8…

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Q: 6. Je* cos 2.xdx

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Q: Integral of √sinx dx

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Q: Evaluate the indefinite integral using substitution. (Use CC for the constant of integration.)

A: Given integral can be expressed as

Q: Find the indefinite integral. (use C for the constant of integration)   indefinite integral of:…

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Q: sinh x tex cosh x + ex In the indefinite Integral in(cosh x + ex)- sinh x tex (A) cosh x + ex B sinh…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Indefinite Integrals

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Q: 1. /1+ dz

A: The objective is to evaluate the indefinite integral.

Q: Intergal of (sinh x) / (cosh x + 6) dx

A: To find  Integration of (sinh x) / (cosh x + 6) dx

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: arctan zdz

A: Recall: Integration by parts: ∫udv=uv-∫vdu

Q: ntegral of sec2x+tan2x dx

A:

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec'x tan x dx

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Q: Integral of dx/sinx+tanx

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Q: Evaluate Integral. integral 0 to 1 (fourth root x^5+ fith root x^4)dx

A: ∫xndx=xn+1n+1+C Concept amn=amn

Q: In the indefinite Integral Sin(cosh x + ex)- integrand? A In(cosh x + ex) B sinh x + ex In(cosh x +…

A: The given function whose integral is to be found is called the integrand.

Q: Determine the indefinite integral. Check your work by differentiation. dy + + 1

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Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + ex)- sinh x tex A cosh x + ex sinh x…

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Q: Determine the value of the integral: integral sign:  (x)(e^-x)

A: Recall the formula for integration by parts:

Q: sinh xn • Int1 • In+1 = Xn 3.

A:

Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with…

A: y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

Q: 7. (xsin x'dx

A:

Q: indefinite integral. 8x arcsin(x) dx

A: To find the given indefinite integral.

Q: dx xVa² -x²

A: Given that integral. :  dx/[x(√a2 -x2)]. We find solution of this integration by using general…

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.) x…

A: We have to find

Q: In the indefinite Integral in(cosh x + e*)- integrand? A sinh x + ex B In(cosh x + e*) In(cosh x +…

A: What is the integrand

Q: sinh x + ex cosh x + ex In the indefinite Integral in(cosh x + ex)- A In(cosh x + e*) B sinh x + ex…

A: To find integrand the steps are as follows.

Q: g(x) = |sin x| ,[-n,n

A: