Evaluate the integral. (1s - t )dt t + 8 -2

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

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Q: Find the indefinite integral ∫(t2i + 5tj + 8t3k) dt

A: Given ,∫t2i+5t j+8t3Kdt

Q: Evaluate the integral. 1 dt t3 V2 -4

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

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Q: Evaluate the integral. бл t2 sin(2t) dt

A: We will apply ILATE rule hence t2 will be first function and sin2t will be second

Q: Evaluate the integrals ∫√t sin (2t3/2) dt

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Q: Evaluate the integral. 1//3 t2 - 1 2 dt t4 - 1

A: First, we simplify the integrand by using the formula  ( a 2 - b 2 )=(a - b) (a + b). Then apply…

Q: Evaluate the integral. 1 2 dt t2 + 1

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Q: Evaluate the integrals: V2 1- dx (T/2 7cost sin t dt 2-

A: as per our guidelines, I am solving only the first question with both parts please resubmit other…

Q: Evaluate the integral. t2 sin(2t) dt

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Q: 3. Write as a single integral in the form S(x) S(x)dx -2

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Q: 2x Evaluate the improper integral J dx, if it exists. (x2 + 64)2

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Q: Evaluate the integral. 4π S t² sin(2t) dt

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

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Q: Calculate the integral f. (z-2)²2 dz, where C: |z – 1| = 3.

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Q: Evaluate the integral.

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Q: Evaluate the Integrals S(** - 8x + 7)dx а. 3 dt b. Jo 1-16

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Q: -2 2 7e" + dy -5

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Q: Find the integral of r(t) = (3t2 + 4t, 2, e') from 0 to 1.

A: Consider the following vector: rt=3t2+4ti^+2j^+etk^ Integrate the above vector:…

Q: Find the indefinite integral. t2 dt 3= t3 +C

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Q: Evaluate the integrals

A: Given: ∫-3-1y5-2yy3dy for evaluating this limit we first separate terms then integrate it

Q: what is the integral of e^(-2a|t|) from 0 to w

A: Given integral: ∫0we-2atdt

Q: Find the integral. (te -7e dt

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Q: Evaluate the integral. (11 - t)/e dt

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Q: Evaluate the integral. +1 dt Vi 0.

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Q: 24. Evaluate the integral: ," dy y2+2y-3

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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: The improper integral 2dx 0. 1-x2 3 T

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Q: Evaluate the integral. et i + 3t2 j + In(5t) k) dt + C

A: We have to evaluate the given integrate…

Q: evaluate the integral; ∫ [5,1] t/1+t^2 dt

A: We have to find the value of given definite integral. To find that we use integration by…

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

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Q: Find the indefinite integral dt t4 + 4

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

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Q: Find the complete integral of (p2 + q2)y = qz.

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

A: We will integrate term by term.

Q: (t+ 3)² dt

A: We have to find the integral: ∫t+32t4dt Simplifying using identity a+b2=a2+2ab+b2,…

Q: Evaluate the integral i.) 2 S² S₂y ez dxdy हैं,

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Q: (1+ 1)? dt =D t3

A: Given : ∫1+t2t3dt

Q: Evaluate the integrals ∫(t + 1)2 - 1/t4 dt

A: To evaluate the integral: ∫t+12-1t4dt Evaluating the given integral.…

Q: Evaluate the integral. 2 (8t i - j+ 3t5 k) dt

A: We first separate the integral

Q: Evaluate the integral -6y dy e2y

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Q: Find the integral of t/(t^4+2) dt

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Q: Evaluate the integral: S dx (x+6)(x-4) ← +C

A: Given problem:-

Q: Evaluate the integral: [(4 t³ - 9)i+sec² t (t³+4)3 k]dt +

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Q: 3t e"dt 2 (1+4e3

A: Let's integrate.

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. Here we use the formula…

Q: dx Evaluate the given integral: S- xV5x2-4

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

A: Given:2∫ t e-2t dt

Q: Find the integral dt (t2 + 25)2

A: Given, ∫dt(t2+25)2