Evaluate the integral, if it exists.  ∫Csc2 (3t) dt

Q: Evaluate the integral of x(x - 5)12 dx from 5 to 6

A: Given: ∫56x(x-5)12dx

Q: Evaluate the integral, if it exists.  ∫01 y2 √(y3 + 1) dy

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Q: teve dt

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Q: evaluate the given integral.

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Q: Evaluate the following integrals: a) JxVx- 4 dx

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Q: Find the integral +1 dr = +C

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Q: Evaluate the following integrals dx V9 - x?

A: Given that, ∫x29 - x2 dx           ...(1) We can do this with trigonometric substitution. Consider,…

Q: a) Calculate the integral , dzdy dx.

A: Given:

Q: Evaluate the integrals in ∫e√r/√r dr

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Q: Evaluate the following integrals. (a) /; 1 dx - 4

A: As per bartleby expert policy, only first individual question is to be answered. Kindly repost the…

Q: dv e

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Q: Evaluate the integral of x(x – 5)^12 dx from 5 to 6

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

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Q: Evaluate the integral, if it exists.    ∫01 (1 -x9) dx

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Q: Evaluate the following integrals.

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Q: c/4- 4 – x dx

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Q: Write the integral as a sum of integrals without absolute values and evaluate: Leis | cos x | dx =…

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Q: Evaluate the integral by making the given substitution. x-Vx3 + 10 dx, u = x3 + 10

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral or state that it diverges. 14 -dp- x(x+ 1) 2

A: The given integral ∫2∞14xx+1dx use partial fractions 14x(x+1)=14x-14(x+1)

Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: Evaluate the following integrals.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Evaluate the following integrals. a. dx Vx -1

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Q: Evaluate the integral: / In(r")) d.x.

A: Solved below

Q: Evaluate the following integrals: | VE(x +1) de:

A: Given:       ∫xx+1dx     =∫xx+xdx        =∫x32dx+∫x12dx

Q: Evaluate the given integrals 1 (a)[ -dx 2 -

A: Given that: ∫1x29-x2dx

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: Evaluate the integral. In(10 x 9) dx +C

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Q: Write the integral that would define the mgf of the pdf 1 1 π1+x² Is the integral finite? (Do you…

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Q: S x³et*dx

A: A detailed solution is given below

Q: Evaluate the integral by making the given substitution. x³(10 + x*)7 dx, u = 10 + x4

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Q: fx ax dx

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Q: Evaluate the integral

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Q: Evaluate the integral, if it exists.  ∫01Sin (3 π t) dt

A: Given the integral ∫01Sin (3 π t) dt We need to evaluate the above integral.

Q: 2. 21-/9 – 4ª dx

A: The by parts method is given as ∫uv=u∫v-∫u'(v) where u is the first function and v is the second…

Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: Evaluate the integral. | In(7 x – 6) dx = +C

A: Given query is to find value of the integral.

Q: Evaluate the integral or state that it diverges.

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Q: Write the integral that would define the mgf of the pdf 1 1 π1+x² Is the integral finite? (Do you…

A: Solution :-

Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: Evaluate the following integrals ii. fx cot-'x dx .

A: Solution is given below:

Q: a) Evaluate the integrals using a dx i) S16x2 1+16x?

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the integral by making the given substitution. dx (3x + 14)4 u = 3x + 14

A: We have to solve

Q: Evaluate the following integrals.

A: ∫x91-x20dx=∫x91-x102dx Now put, x10=t⇒10x9=dtdx⇒x9 dx=dt10

Q: Evaluate the integral.

A: Given: ∫12e1xx2dx

Q: Evaluate the integrals in ∫e1/x/x2 dx

A: Our Aim is to evaluate the integral given below:-I=∫e1/xx2dx -(i)

Q: Evaluate the integral, if it exists.  ∫01v2 Cos (v3) dv

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Q: /1- xº V1-x°

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Q: Calculate the following integrals. dx (a)

A: Note:  As per our guidelines, we are supposed to answer only one question. Kindly repost other…

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

A: To evaluate: