Evaluate the integral s s 3. 2+

Q: S(9i + 3tj + 7t k) dt. -1

A: The given integral ∫-119i+3tj+7t6kdt Integrate by taking dot product with idt, jdt, kdt

Q: et dt (e2t +8et+7)z

A: Here we have to evaluate I=∫ete2t+8et+732dt

Q: Evaluate the integral. '3 dt 1

A:

Q: Evaluate the integral s 3. 2+ K 1-X 2

A: Use polar coordinates for simplification of the given integral. Change the Integrand from Cartesian…

Q: Evaluate the following integral. S (2x4) (In(x)) dæ O x° In(z) - 끓#5 + C 25 ㅇ 금과s In(2) + 끓25 +C ㅇ…

A:

Q: dt 6. (t+1)5 NO

A: SOLUTION-

Q: Evaluate the integral. 12 (12x – 69x02)dx (12 (1212 + 69 812 O a. 12 1.2 1.2 1212 69 1.2 Ob. 122 812…

A: we have to evaluate the following definite integral . I have explained in step 2 please see there…

Q: Evaluate the integral. S- V1- xp

A: ∫un du =un+1n+1+C

Q: y=x3 2

A:

Q: Evaluate the integral ſ(x + 3)vx² + 6x + 1dx.

A: We have  I=∫x+3x2+6x+1 dx   Substitute x2+6x+1=t 2x+6dx=dtx+3 dx=dt2

Q: Evaluate the integral. (u + 5)(u – 6) du

A:

Q: Evaluate the integral of the following: S(-4t+12) (5t +15)dt

A:

Q: Evaluate the double integral : dy dz O - 20 O 8 O 20 O - 8

A:

Q: Find the integral of In( e^(2x-1) )

A: Given :           ∫e2x-1dx

Q: 2) Evaluate the integral S inx dr 2.

A:

Q: S |8:xydxdy y=-2 x=1

A: For the following problem,

Q: 3.3 5t – 3 dt 2t° – 7t

A:

Q: evaluate the definite integral.

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Q: 2 dt 4+ t²

A:

Q: Evaluate the integral

A:

Q: Evaluate the integral: S/2 Se S77/2 S¹² sin (=) dt du π/2

A:

Q: Compute the given integral. 11z - 2 11x² - 4x + 5 -dr +C

A:

Q: 4 3t dt V1+ 6t²

A:

Q: Evaluate the integrals ∫ et dt/e2t + 3et + 2

A: Evaluate: ∫ete2t+3et+2dt

Q: Evaluate the integral.

A: Given:            ∫461t2-9dt

Q: Evaluate the integral. 4 + u² du u3

A:

Q: 6. Find the integral Ssin’xdx.

A:

Q: Evaluate the integral. 1 √2√2 ²² √2-4° dt t³

A:

Q: Evaluate the given integral. 2"s(t)dt - 00 9e"8(t}dt = - 00

A:

Q: prove that var (XY) == 0} 03+ 2} · o3+ 13.03

A:

Q: Q3 : Evaluate the following integral. X4V9-x2

A:

Q: Can you help with this problem step by step?

A: Given:

Q: Evaluate the integral. S* con5 8x dx n/2 O-2 15 15

A: Given:∫-π2π2cos58x dxLet f(x)=cos58x f(-x)=cos5(-8x)=cos58x =f(x)f(-x)=f(x)hence, it is an even…

Q: S 5x³ Vx² – 2 dx

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Q: хах 9. S 1-x8

A:

Q: Evaluate the integral. 4,3 - 32+ 4 른t) dt

A:

Q: Evaluate the integral: Só(5 + 4x) dx dy O 18 O 36 O 2 O 4

A:

Q: 6. S21-2xdx

A:

Q: S₁x² Sö 2 (a²-x²) ² dx

A:

Q: Evaluate the integral. S (2 - VE) da

A: The given integral is: I=∫x3-x3 dx

Q: Evaluate the following iterated integral. 4 4 1 0

A:

Q: Evaluate the integral dn Ş" 4 22 3+2²

A:

Q: Evaluate the following integral: S 2v (v² + 5 Vo² – 6 Vo3 -) dv 2v²,

A: To evaluate the given integral.

Q: Evaluate the integral. p8 In p dp

A: Given : ∫p8lnpdp

Q: Find the integral. 12 dt 4+3 A) (4+t)3/4 + C B. t (4 + t3/4 + C B - (4+t4 c 9(4

A:

Q: Evaluate the integral of e3t(6+et)^(1/2)

A: Consider the given integral:

Q: Evaluate the integral S dx 25+225x²

A: Given, ∫125+225x2dx

Q: Compute the given integral. 5x dr +C

A: integration by substitution