evaluate the integral. +t In(t“ + 1)j |dt te

Q: Evaluate the integral: (t i-tj+3t k) dt

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Q: Which of the following is a particular integral for the follo d'y 3d-4y te dt2

A: J

Q: Evaluate the integral S (t³ In t ì + 3t³ sin (t*) j + x-2 *(x+1) k) dt.

A: We will use the fact that when we calculate the integral of a vector valued function we integrate…

Q: Evaluate the integral. inegral (3t -2 )/ (t+1) dt

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Q: Evaluate the integral S (t³ In ti + 3t³ sin (t*) j+ x-2 X(x+1) k) dt.

A: In this question, we have to find the integral of the given vector function. Here we integrate the…

Q: Evaluate the integral. ∫t3  et dt

A: ∫t3  et dt  We need to evaluate the integral.

Q: Find the complete integral of the PDE z = px + qy – sin (pq)

A: Given partial differential equation z=px+qy−sinpq.....(1) We have to find the complete integral of…

Q: VE dt 42+T

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Q: Evaluate the integral. dt e dt = %3D

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Q: Evaluate the integral.  integral  t 2 sin 2  t dt

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Q: Find the complete integral of the z'(p°z² +q°)=1

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Q: Evaluate the integral.

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Q: Evaluate the integrals in Exercises using integration by parts. 3. f cos t dt 4. * sin x dx

A: The formula for an integral ∫udv is uv-∫vdu. Here u function is selected on basis of ILATE order.…

Q: Evaluate the integral of (t2) / √(1+t2 )with respect to t.

A: It is given that, f(t)=t21+t2 It is known that, ∫1(x2+a2)dx=logx+x2+a2+c and…

Q: Evaluate the integral, if it exists.

A: Given: ∫-π4π4t4 tant2+costdt

Q: What is the integral of fcos (2t)dt? COS

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Q: e (In z)°dæ Evaluate the Integral

A: we have to find the integration of f(x) f(x)=∫0∞ex2(ln x)2dx ∫udv=uv-∫vdu             u=(ln x)2…

Q: Evaluate the integral. VE (1 + t) dt /1

A: * ∫tndt=tn+1n+11 *∫(F+g)dt=∫fdt+∫gdt *  [f(t)]ab=f(b)-f(a)

Q: Evaluate the integral S (t³ In ti+ 3t sin (t*) j+ ) dt. 1-2 x1)

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Q: Evaluate the integral f(Vt,et) dt. t+1'

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Q: 2. Compute the integral dy dx by interchanging the order of integration.

A: Order of change of integrals

Q: 6. Compute the following improper integrals: a) tet sin t dt

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Q: Evaluate the integral | t(sec t2)4 dt

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Q: St³ In t dt

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Q: Compute the following integral below using integration by parts. So t³ In(t)dt. •1

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Q: Evaluate the integral i- te*j + VTk] dt 0,

A: ∫03t2i - tet2j + t7/2k dt [t3i/3 - et2j/2 + 2t9/2k/9 ]03 9i - e9j/2 + 2*35/2k (9 , -e9/2 , 235 )

Q: Find the integral. e3t dt Vest - 3 %3D 1

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Q: Evaluate the integral (t³ In ti+ 3t³ sin (t) j+k) dt.

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Q: Evaluate the integrals in ∫7cos t sin t dt

A: Given Integral,I=∫7 cos t sin t dt

Q: Evaluate the integrals ∫dt/t√t

A: Consider the given integration as I=∫dttt or I=∫t-32dt As we know, ∫xndx=xn+1n+1

Q: show the steps of this integral: | dxp In p = In a H

A: Given that H=-∫0adxρlnρ This can be written as, H=∫0a1ρdρ

Q: Calculate the iterated integral. 2/s+t ds dt

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Q: Compute the integral fo S x cos(xy)dxdy

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Q: 2. Compute the following integrals: sin(it) dt; t - T 1 -dz; 1 22 (1,1) -

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Q: Evaluate the indefinite integral ∫⟨1t,4t3,√t⟩dt, where t>0.

A: We will integrate term by term.

Q: In Vi - dt 3t (b)

A: ln(a)b= b ln(a)

Q: Evaluate the integral f (t* In ti+ 3t° sin (t*) j + ) dt. (x+1) -2

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Q: 2. Evaluate these indefinite integrals: dt (d) S; dt 2t2+5t+3

A: Given that a integration  and we solve it by using general property of integration. Here i attached…

Q: Evaluate the integrals

A: Given information: ∫141ti+15-tj+12tkdt

Q: 2_ Calculate the generalized integral. x In r dx J. (1+12)3

A: The given integral: Calculate the above integral:

Q: fx'e*dx

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Q: Evaluate the integral S (* In ti+ 3t sin (t*) j+ k) dt. x(*+1)

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Q: Evaluate the integral: -2e 2е π/3 ₁² /³ tlnu tans ds du dt 0

A: In this triple integral we first integrate with respect to 's' then with respect to 'u' and in last…

Q: Evaluate the integral.   ∫01 t cosh t dt

A: Given: ∫01tcoshtdt

Q: find the integral from 1 to 4 of (3t^(3/2) i+(t+4)(√t)k)dt

A: The given expression is ∫143t32i+t+4tkdt. Evaluate the value of integral.     The power rule of…

Q: obtain a formula for any integral of the form (- a)* dz.

A: Given∫xb-1(cxb-d)kdx

Q: . Evaluate the integral S (t* In ti+ 3t sin (t*) j+ ) dt. +1)

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Q: Evaluate the integrals in ∫2 t e-t2 dt

A: Given:2∫ t e-2t dt