G 76 H 7x 5x 8y I y = %3D

Q: S. 2 dx x(3(\nx)*+121nx-15)2

A: Solution:-

Q: dx 0. HEMATICE (x² + 9) ž M/2

A: Topic:- integration by substituting

Q: d 2t dt 2. Cost

A: Formula Used: According to the fundamental theorem of calculus:…

Q: Find d(4)H.W dx X3 HiW

A:

Q: E valuate:0 =4 j9

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: d) +4 dx

A: The answer is

Q: dx x2 + 25'

A: Here we will sove the given intigral,

Q: H. K %23 J L (9x-62)" G G (5x – 2)' L (9x – 62)'

A:

Q: L M X 58 t/d/ Iznyyll}

A: Solve the given tringle for side x

Q: 4 dx 2 + x3 1

A:

Q: l'm tan2X.cSc 4X メ→0

A:

Q: x dx 12

A: Integration of the function helps to find the value of the given integration. Substitution of the…

Q: yt + x* = F g?

A: Given that: y4+x4=x5y7 Now, take the all "y" terms on one side, we get: y7x5-y4=x4 Now take the…

Q: N dx x² 10

A: Given,           ∫10N1x2dx

Q: | (e)v За +9 dx

A: Given:  To Find: To evaluate the given integral.

Q: 4 しょx) dn =? Simpliky Thenk you

A: Given integral, ∫14x2+xdx

Q: S dx 2 x² + 10x +30

A:

Q: S (5+x>(4 - x2) dx (A 20x B 20x 20x D

A: The formula for integration is  ∫xndx=xn+1n+1+c

Q: s dx 20+ 8x - x²

A:

Q: dx X+8

A:

Q: Find L{6t}. L{t} = = s2

A: Use linearity of Laplace transform.

Q: e2" – e5r dr dx b)] Jx (1 + x) + e3r

A:

Q: Cost 3x dх

A: The objective of the question is evaluate the indefinite integral.

Q: 3 X dx V16 – x? 16— х*

A:

Q: e2x 9) S dx 25-e4x

A: To find the value of the given integral, first we use substitute e2x=t, then we use the integration…

Q: p dx. -3x (h)

A:

Q: S₁² S (x+y)dx

A: the simple way integration ,frist integration with respect to x

Q: dx x (1+a2)

A: As per our guidelines only one question can be solved. Please find the solution for 1st question…

Q: |x*dx 4.

A: Solution of question as follow

Q: (b) 25(x)dx %3D

A: (b) The integration is: ∫442fxdx To find the value of integration.

Q: (t) = te2t L{f(t)} = (s > 2)

A:

Q: S dx x2 x² + 13x

A:

Q: d/dx (x2+1) lnx

A: Apply product rule to find the derivative (uv)’ = u’v + uv’

Q: d/dx∫x−1(2t^6−t)^30dt

A:

Q: a) L{2} b) L{e* } c) L{t} -2t

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: -10 b) L,(x² + x)dx 10

A:

Q: x'y'dx +5x² ydy + 6 ydx =

A:

Q: (d) f(z) = (r* – 1)l0

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: dx 28. 1– x4

A:

Q: ydy 1+ y²² = dx X when y(2) =3

A:

Q: Find:

A:

Q: (c) S /2x – x² dx

A:

Q: x² dx Vx3 + 41

A:

Q: Sx V1 – x² dx 3.

A:

Q: L{(1+t")e }=

A:

Q: Evaluate

A: ∫-π8π8  sec2x+π8 dx

Q: d/dx (x^4/12)

A: Consider the given integral

Q: dx 12 · S V5 – 4x² + 4x

A: