Use integration by parts to evaluate the integral: In(s)ds

Q: Evaluate the integral. (Use C for the constant of integration.) | 16 In(V) dx

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sec2…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 5…

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Q: L₁ |x|dx

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Q: •1 Va3 +1 dx dy x³

A: Given ∫01∫y1x3+1dx dy Here  y≤x≤10≤y≤1 The region between these integral limits is given by On…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -2x…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: ( (x? + 1)e* dx

A: Given

Q: 61. dx dy 3y

A: the given double integral is: ∫01∫3y3ex2dxdy as we can notice that in the given double integral…

Q: SoSs, e dxdy = Evaluate the integral by reversing the order of integration. et? 8-

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Q: Evaluate the integral (by interpreting it as the area between two curves) 4 I Va +2 – a| 0 dx -

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Q: х? +2 dx x +1

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration…

A: It is given that, ∫sec21x5x6dx   Here we'll solve this integral by using the substitution method.…

Q: Evaluate the integral. (Use C for the constant of integration.) / Incv) In(Vx) dx

A: To evaluate the below integral Simplify it

Q: Picture attached. Thanks in advance!

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Q: Evaluate the integral by interpreting it in terms of areas.

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Q: Evaluate the integral by interpreting it in terms of areas: + V16 – x2) dx

A: We first graph the function using a graphing calculator

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. e…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: We have to evaluate the integral by first modifying the form of the integrand ∫ [ln(e8x) + ln(e-8x)]…

Q: Evaluate the integral using tabular integration by parts. | (5 2² – x + 1) e¯* dæe +C

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

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Q: Use integration by parts to evaluate the integral.

A: Apply integration by parts,

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integral. (Use C for the constant of integration.) In(Vx) dx

A: ∫lnxdx=∫lnx12dx=12∫lnxdxLet u=ln(x)du=1xdxdv=dxv=∫dxv=x

Q: Evaluate the integral. (Use C for the constant of integration.) | sz?e" dz

A: ∫5z3ezdzusing integration by part ∫fxgxdx=fx∫gxdx-∫dfx∫gxdxdxNow,…

Q: Evaluate the integral | r – 3| dx by interpreting it in terms of area.

A: Formula for integrating modulus function:

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e21 In x…

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Q: Evaluate the integral. (Use C for the constant of integration.) om | (In(x))? dx

A: To find: Rewriting the integral and applying integration by parts: Applying formula:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Use integration tables to find or evaluate the integral.

A: To evaluate: ∫01x1+ex2dx Evaluating the given integral, Let substitute  t=x2 dtdx=2xdt2=xdx…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. 9 +…

A: Solve the following

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: see below the answer and calculation

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: Given,

Q: Evaluate the integral using property of So √x e² dx' the F

A: Given:  To evaluate ∫x1/2*e-2xdx using property of pdf ?

Q: Evaluate the integral by using u-substitution and changing the limits of integration. 3x dx J, ex++1

A: ∫-103xex4+1dx Let say, u=x4 Therefore, du=4.x3.dx  ⇒ x.dx=du4x2=du4u. x=-1 ⇒u=1x=0⇒u=0 Therefore,…

Q: 3 dx extle) Vx+4 V x+4

A: Explained below

Q: cot t dt

A: I=∫ t cot-1t dtu=cot-1t, v=tdu=-1t2+1 dt,  dv=dtIntegration by parts;I=cot-1t ∫t dt -∫ ddt(cot-1t)∫t…

Q: Evaluate the double integral. dA, D.

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) + 9…

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Q: |x?(cosx) dx ; п3D6

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Q: r8 2 dx dy

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Q: Evaluate the integral by interpreting it in terms of areas.  integral-1 to 2 (1-x)dx

A: ∫-121-x dx It can be written as, ∫-121-x dx=∫-111-x dx+∫121-x dx Now ∫-111-x dx represents an area…

Q: Write an equivalent double integral with the order of integration reversed. integral from 8 to 10…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

A: Let I is the value of given Integral

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: .Use integration by parts to evaluate the integral. In(z) dz = z2

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Q: A7 Mp (M)/ eMm

A: GivenI = ∫17w2In(w)dwusing by parts u = In(w)        v'=w2

Q: Consider the integral z'e* Applying the integration by parts technique, let and

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.