Evaluate the integral by long dvidion.. 3x'+8x-4dx X-2

Q: Evaluate the integral using by parts method: S 6x5 In 3x dx

A:

Q: Evaluate the integral of [dx/((x^2)sqrt(9-x^2))]

A:

Q: Evaluate the integrals ∫tanh 2x dx

A:

Q: 5+x*dx

A:

Q: Evaluate the integrals ∫sec4 θ dθ

A:

Q: Q2: Evaluate the integral ° In xdx using by parts formula

A: We use integral by part

Q: Evaluate the integrals

A:

Q: Evaluate the integral using the following values. 6 6 6 [°x³ dx = 260, ["x dx = 10, [° dx = 2 + 6 (³…

A:

Q: 3x?dx 10. S 9x6-12x3+4

A:

Q: Evaluate the integrals in ∫2ln x/x dx

A: Now put,

Q: Evaluate the integral using trig substitution: ∫√(x2+2x) dx

A: The integration to be performed is I=∫x2+2xdx. Substitution method will be used to solve the…

Q: 1= [3y/7-3y° dy

A:

Q: tVt2 + 2dt.

A: we can evaluate  the given integral by substitution method(Substitute  u=t²+2).

Q: Evaluate the integral: S- In(cosh2x) dx coth2x

A: We're going to solve

Q: Evaluate the integral S,"12x – 6|dx

A:

Q: Evaluate the integrals ∫dx/√(9 + x2)

A: To evaluate I=∫19+x2dx

Q: Evaluate the integral. S (4x' – - 3x? + 2x) dx

A: The integration of the term 4x3-3x2+2x limit from 1 to 2.

Q: Decide whether the integral is improper. 1,01 In(x5) dx

A: We are asked to find whether integral is proper or improper

Q: Evaluate the integral using by parts method: S9z In 4x dx

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Evaluate the integral when x > 0 In(x? + 11x + 24) dx.

A:

Q: Determine the integral by interpreting it in terms of areas. 2x

A:

Q: Find the integral ∫tanh2xdx.

A:

Q: 2x dx Vx+3

A: Topic = Integration Use∫xn dx=xn+1n+1+C

Q: Evaluate the integrals

A:

Q: Evaluate the integrals ∫ 1/x6(x5 + 4) dx

A: Integration : ∫1x6(x5+4)dxWe need to perform partial fraction decomposition:

Q: Evaluate the integral. In(10 x 9) dx +C

A:

Q: 1 dx = 2 Jo 4+x 8.

A:

Q: .3 2х — 3 -dx 4 x –x

A: First break the given Integral  Then take 4x- x^2 = u and in other one complete the square  Finally…

Q: Use the Table of Integrals to evaluate the integral. Show ALL work. S 11x³√4x²x¹ dx

A: Follow the procedure given below.

Q: Evaluate the integrals

A: The given integral is ∫12 s2+ss2.

Q: Evaluate the integral. 8 Ox z dr dz de 5 4x 0

A:

Q: Evaluate the integral ∫e−xsinh2xdx.

A:

Q: хах x2+x+1

A:

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ dt/t4 + 4t2 + 3

A:

Q: Evaluate the integral. | In(7 x – 6) dx = +C

A: Given query is to find value of the integral.

Q: Evaluate the integrals ∫2eθ cosh θ dθ

A: To evaluate  ∫2eθ coshθ dθ

Q: Evaluate the integral by making the substitution u = x – 6.

A: Given,           ∫x2x3-637dx ; by making the substitution u=x3-6

Q: dr. r² – 25

A: Given integral, ∫xx2-25dx

Q: Evaluate the integral 1 et drdydz. 0.

A:

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

A: The given integral is: I=∫x3-x3 dx

Q: Evaluate the integral, if it exists.

A: Given: An integral ∫03|x2-4|dx x2-4>0, for x≥2 x2-4<0 for x<2 Thus,…

Q: Compute the integral by algebraic substitution:  ∫3x^5√16-x^2 dx

A: The given integral is: ∫3x516-x2 dxLet, I=∫3x516-x2 dx⇒I=3∫x516-x2 dx    -1

Q: Evaluate the integral. S (27- VE) dz

A:

Q: 3.

A:

Q: Evaluate the integral.

A: In integral type:We use below solution technique  I=∫abax1+ax2dxAdd and subtract '1' in nominator of…

Q: Evaluate the integral: =°/1+ 64z*dz

A:

Q: Evaluate the integral. (Use C for the const dx 15 √ 5x(1 + 5x)

A:

Q: Evaluate the integrals.

A: To evaluate : The integral ∫052x-8dx.

Q: Evaluate the integral by making the given substitution.  x^5/ (x^6-7), u=x^6-7

A:

Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.