xdx J Væ +3

Q: Find the product of the integral 1- LL,x? e*ydxdy

A:

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

A: Given ,∫t2i+5t j+8t3Kdt

Q: Evaluate the iterated integral: , S (2x²y + 3ay") de dy.

A: The objective is to find the value of the iterated integral ∫-12∫242x2y+3xy2dxdy First integrate…

Q: can i get step by step help please

A:

Q: Evaluate the integral J dx V4-9х2 3.

A: This question is related to integration.

Q: dz 2 t´ + Zz-3

A:

Q: Evaluate the integral. * 64 In(y) Ap Vy J49

A: To evaluate the given integral.

Q: Evaluate the integral , f(x) dx, where 3 — х3, х 1

A: Given a piecewise function We need to find integral from x=-2 to 3

Q: Evaluate the integral by making the given substitution dx, u = x³ -6 -6

A:

Q: Evaluate the integral dx (2x + 11) by making the appropriate substitution: u =

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Q: Evaluate the integral by making the given substitution. dx u = 7x + 8 (7x + 8) '

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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: VE dt 42+T

A:

Q: Evaluate the integral. a) farctan 4t dt b)

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Q: Evaluate the integral by making the given substitution. sec(6z)tan(6æ)dr, u = 6z + C

A: According to question given :∫sec6xtan6x dx, u=6xWe have to evaluate the integral by making the…

Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

A:

Q: Evaluate the integral by making the given substitution. dp, и %3D 1 + бр2 1 + 6p2 + C

A: Solve the indefinite integral in the following way:-

Q: Evaluate the integral. dA, R X + 1 R = [0, 9] × [0, 8]

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Q: Evaluate the integral of the following: 1. SVE(V+Vx)dx

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Q: Evaluate the integral using the given substitution. 18(6x- 2)6 dx , u = 6x - 2 0.(6x - 2) +C O (6x -…

A: The given integral is ∫186x-2-6dx and  u=6x-2

Q: Evaluate the integral by making the given substitution. dx u = 7x + 4 (7x + 4)3 + C

A:

Q: Evaluate the integral by making the given substitution. dt u = 1 - 7t (1 – 7t)6' -

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

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Q: Evaluate the integral f, (5x + 6y²) dA, where R = {(x,y)|0 < x < 4,0 < y < 3}.

A: Given integral is ∬R (5x + 6y2) dA Where R =  (x, y) | 0≤x≤4, 0≤y≤3

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

A: We have to evaluate the given integrate…

Q: dx (x + 2)3

A:

Q: Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

A: We have to solve given integral by substitution.

Q: Find each of the given integrals by hand. (In(x)-+ dt a. b. Ssec? 0 d®

A: In part (a) Firstly We will use the concept of linearity and then use the Formulae of logarithmic…

Q: evaluate the integral by making the given substitutions

A: Given,

Q: fx ax dx

A:

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

A:

Q: Evaluate the integral. 3t-2 clt to t +1

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Q: Evaluate the integrals

A: Evaluate∫−π3−π44sec2t+πt2dt

Q: Find the integral of f(r, 0) = where 1 <r <3, 4r2,

A:

Q: Evaluate the integral

A: Solution Given ∫01x2(1-x2)52dx We need to evaluate the integral

Q: Evaluate the integrals ∫ e4t + 2e2t - et/e2t + 1 dt

A: Consider the following integral:…

Q: Evaluate the integral, 00 xn+1e-a²x* Jn(bx)dx, a > 0, b> 0,

A: Bessel's function of first kind of order n, denoted by Jnx is defined as Jnx=∑r=0∞-1n22rr! γn+r+1x2r…

Q: Evaluate the integrals

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

Q: Evaluate the integral of the following: y*+2y²-1dy;y # 0

A: Let given integral is equal to I

Q: Evaluate the integral from 0 to 1. 3/(1+t2)j + 5t4/(1+t5)k

A: We first separate the integrals. ∫3(1+t2)j+5t4(1+t5)kdt=3∫11+t2dtj+∫5t4dt(1+t5)k=3arctan(t) j +…

Q: Evaluate the integral m(x) dx x2

A:

Q: S(1 + In x)x*d.

A: Taking Substitution

Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…

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

A: Given:2∫ t e-2t dt

Q: Find the integral of f (z2 +x2 + y33) dt.

A: Given : ∫z2+x2+y33dt

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

A: Given, ∫dt(t2+25)2

Q: ds :? V5s+6

A: We use substitution method to solve the given integration .

Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy

Q: Use the specified substitution to find or evaluate the integral.

A: We have the given integral as I=∫et-3dt Let us consider that,…