3 x In° x dx In

Q: State what method should be used in solving the followings (either the substitution rule or the…

A:

Q: Given Tex+4 dx. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

A: Given ∫19x2+4dx Let substitute x=23tanθ. dxdθ=23sec2θdx=23sec2θ Substituting the value, we get…

Q: In the given equation/s as follows , find the indefinite integral:-   See the question as attached…

A: Let x=sin2u. Therefore differentiating both sides: dx=2sinucosu du Substitute x=sin2u in the…

Q: In the given equation as follows , use a table of integrals to find the indefinite integral:- See…

A: Given: I=∫excos−1(ex)dx

Q: In the given question/s as follows , find the indefinite integral :-  See theequation as attached…

A: Given: ∫sin72xcos2xdx

Q: In the given equation/s as follows , find the indefinite integral:-   vSee the quaetion as attached…

A: We know that, if, y=arcsecx then, x=secy. We use the above substitution to find the given integral.

Q: In the given equation/s as follows , find the indefinite integral:-   See the equation as attached…

A: ∫1-x2x4dx Put, x=sinθ⇒1=cosθ·dθdx⇒dx=cosθ dθ Therefore, ∫1-x2x4dx=∫1-sin2θsin4θ cosθ dθ=∫cos2θsin4θ…

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

A: ∫0π2x1+sinx2dx Consider, ∫x1+sinx2dx Now put, x2=t⇒2x=dtdx⇒x dx=dt2 Therefore,…

Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

Q: (7x²) · e3*dx r1/2 cos(Tx) · ešin (r2)dx •ln(3) et Jin(2) ez +7dr et +7

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Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see…

A: To evaluate the integral: ∫1sin(πx)cos(πx)dx Solution: Given,…

Q: sin x dx e lme

A:

Q: Consider the following integral. dx x2 – 1 After substitution, the above integral is equivalent to…

A: Consider the integral

Q: In the following equation/s, find the indefinite integral :- see the equation attached here

A: To Find: ∫19z-5-19z+5dz

Q: In the given equation/s as follows , find the indefinite integral:- See the equation as attached…

A: Given, 22I=∫1x9x2+1dx

Q: In the given question/s as follows , find the indefinite integral :- See the equation as attached…

A: Given, ∫cos23xdx To solve the above indefinite integral.

Q: After integration by parts we have e70 cos(80) d0 e70 sin(80) d0.

A: Explained below

Q: 4.2 e0.2*3/2 dx '1.8 (x+3)4/5 -4.2 e

A: Given that, the integral is ∫1.84.2e0.2xx32x+345dx. Let n=4, and the interval is a,b=1.8,4.2. Obtain…

Q: In the given question/s as follows , find the indefinite integral :-   see the question as attached…

A: Here given as I=∫0π2sin9xdx

Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: 'm/4 (cos 2ti + sin 2tj + tsin tk) dt

A: ∫cos2tdt=sin2t2∫sin2tdt=-cos2t2 using these and trigonometry integration

Q: If necessary, use two or more substitutionsto find the following integrals.

A: The given integration is I=∫0π2cosθsinθcos2θ+16 dθI=∫0π2cosθsinθcos2θ+16dθsubstitute…

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: The given integral,      ∫33316x-33dx

Q: Q2: Calculate the area of the triangle using the following integrals 3 a) dx 6. 1.

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Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: I=∫e-2θsin6θ dθ Integrating by parts, we get I=∫e-2θsin6θ dθ=e-2θ∫sin6θ dθ-∫de-2θdθ×∫sin6θ…

Q: 7. Determine the following antiderivatives. 3x (x² – 5)°dx a.

A: Note: As per our company guidelines we are supposed to answer the question only. Kindly ask the…

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

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Q: In the following equation/s, find the indefinite integral :- see the equation as attached here

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Q: dx 16. 2 2 x*Vx –16

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Q: Given the following integral dx You will have to "pull out" at least 1 number before using the…

A: Given that,     ∫5x dx We have to evaluate it.

Q: In the given question/s as follows , find the indefinite integral :-  see the equation as attached…

A: To evaluate ∫sin3 3x dx

Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will…

A: ∫exdx1.Integrate with respect to xex+C12.Integrate with respect to x∫(ex+C1)dx=ex+C1x+C23.Integrate…

Q: Approximate the following integrals using the Trapezoidal rule. -0.35 2 -dx x2-4 1. 2. Só x sin(x)…

A: 1.The given integral is, ∫00.352x2-4dx Here, f(x)=2x2-4,taking h=0.05 Let us construct the table as,

Q: In the given equation , find the indefinite integral :-   See the equation as attached here .

A: Consider the given integral. I=∫cot2tcsctdt Further, simplify the function.…

Q: Evaluate the following integrals. 4 (a) (cot? 0 + csc? 0 sin 20) d0

A: definate integration

Q: After integration by parts we have e70 sin(80) d0 = e70 cos(80) d0.

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Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Given an equation ∫sinθ1+cos2θdθ To integrate using the table of integrals. Let u=cosθ and…

Q: Consider the following integral: sinx dxdy I By reversing the order of integration, the value ofI is…

A:

Q: fo-Vin° e+2 ln² e+ln@ de

A: Here we have to solve the given Integral.

Q: Use a change of variables or the table to evaluate the following definite integral. 15 e 3x dx

A: Given integral is ∫0315e3xdx Substitute 3x=y ⇒3dx=dy⇒dx=dy3 And limit of integration will be change…

Q: Approximate the following integrals using the Trapezoidal rule. r0.35 2 -dx x²-4 1. xp* 2. 5x sin(x)…

A: Hello. Since your question has multiple parts, we will solve the first integral for you. If you want…

Q: the following integrals does not make sense Si So S (x, y, z)dædydz Select one: True False

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Q: 4 S 2 – x² dx

A: we have to find the formula for area of a circle with radius =2 ,

Q: Evaluate the following integrals.

A: To solve the given integral

Q: Solve the following integrals: i. S(e**sin(2x))dx using integration by parts or tabular meth

A:

Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: E va luate the integral dx using (x*+1)* re Sidues and any other method which Can be applied to…

A:

Q: sec{s)ds

A: We know, ∫abf(x) dx = ∫abf(a+b-x) dx

Q: is equal to A Inr+ B ln s where A = and where B =

A: Given expression :