2dx Jo 2x²+3x+1

Q: Evaluate the following integrals:

A: Let z=x^2+2000Differentiate both sides.dz= 2xdxSo, dx=dz/(2x)

Q: Evaluate the integral of the following 1. 6x° .5 182? + 7 dæ

A: Topic:- integration

Q: Evaluate the integral. + 5v7 dv

A:

Q: x³ – 6x² + 10 dæ 2.

A: We have

Q: Evaluate the integral by making the substitution u = x5 – 6.

A: Given∫x4(x5-6)6dxSubstitute x5-6=uDifferentiate x w.r.t u5x4dx=dux4dx=15du

Q: xp: 3x/10 In(3x) – (In(3x))²

A:

Q: 2х + 1 2x3 – x²

A: ∫2x+12x3-x2dx

Q: Evaluate the following triple integral: 3 x x 6z dzdydx

A:

Q: doc Cc+1) Cac+2)2

A:

Q: Evaluate the integral.

A: Given Data The integral is ꭍx+4/x²+2x+5 dx.   Let,   Put the value in the given integral…

Q: Evaluate the integral: a V1 + 492 da

A:

Q: Evaluate the following integrals: / (* - dæ 4 3x2 + +C A 1 +C 3z3 - In|æª| + C 1 3x2 - 473 +C

A: To evaluate: I=∫x3-1x4dx

Q: Evaluate the integral. 2t + di

A: We have to find the integral

Q: Evaluate the integral ∫θ4√ (1 - θ2) dθ

A:

Q: 9x 4. J, 16+9x

A:

Q: 19x40メー2 メP

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 2+ 6x

A: Integration: ∫xdx2+6x+9x2We need to write it in partial fraction form.

Q: Evaluate the integral. r1/3 -1 2x = xp J1/7

A: ∫1713-12xdx=∫1713-12.1xdxWe know that ∫1x dx=ln(x)+cSo, ∫1713-12xdx=∫1713-12.1xdx

Q: Evaluate the integral. 16 x - 5 xp

A:

Q: Evaluate the integral. '4 x2 + x + 1 xp Jo (x + 1)2(x + 2)

A:

Q: Evaluate the integral. 3 x² + x + 1 xp lo (x + 1)²(x + 2)

A: To find:-   Method:- we use partial fraction method

Q: Evaluate the integral + 3) (x2 + 3x + 10)*dæ by making the substitution u = x + 3x + 10. + C NOTE:…

A: The given is ∫2x+3x2+3x+104dx by making the substitution u=x2+3x+10.  Solve the integral. Here we…

Q: Evaluate the integral. xp x² + 6x +13

A:

Q: Evaluate the following integrals: - TVī + vi csc(t) (a) dt

A: The given integral,∫t2-πt+t csc(t)tdt

Q: Evaluate the integral of the following using Miscellaneous Substitution 3. x /x*+ 1dx

A:

Q: Evaluate the integral. xex . (1 + x)2 xp

A:

Q: Evaluate the integral * (2* – 4)" de by making the substitution u a6 – 4. - + C

A: We know that  ∫xndx=xn+1n+1+C We make the substitution u=x6-4du=6x5dxdu6=x5dx

Q: Find or evaluate the integral. da 13 a. 14x

A: The given integral is∫3dx-x2-14x-13.

Q: Evaluate the integral by making the substitution u = x° – 7. + C

A:

Q: 12 So cx 202x2+3x+1

A: Given  To find antiderivative , we need to apply partial fractions Factor the denominator part

Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

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

A:

Q: 2. Evaluate the following integrals. 3 + 2x + 7 dr 7+1 (b)

A:

Q: Evaluate the following integrals. 4x545 2. 3. fx Vr? - 4dx 4. S(2- sin 4r) dr

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: Evaluate the integral 49 by making the substitution u = x* – 2. + C

A:

Q: Evaluate the following integrals, ₁-1²₂2²² I 12- de 6 (2² dr (r²-5r+6) 8(x-3), dr 6 (x²-3x+2) ²

A:

Q: 20 + S 2c + 5 こ

A:

Q: x+2 (х-1(х+3) xP *

A:

Q: Evaluate the following integral 1 x² +6x+13

A:

Q: 8dx 5х+2

A:

Q: Evaluate the following integral. dr 3r2 – 12x + 36*

A: We have to evaluate the integral ∫dx3x2-12x+36 Here we will use the following integration formula-…

Q: Evaluate the integral. 1 X - 4 Jo x2 - 5x + 6 xp

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Q: 4 2xdx х2 — 4х + 8

A:

Q: Use the substitution formula to evaluate the integral. 10r dr o 19+5r

A: Let,I=∫0110r9+5r2drLet,9+5r2=ttherefore,10rdr=dtandat r=0,  t=9+502t=9Also,at…

Q: Evaluate the integral 12 cosh 2r dr.

A:

Q: SxVx? – 9dx

A:

Q: 5. 4e2xdx

A: Given:       ∫4e2xdx Taking constant out.     =4∫e2xdx substitute u=2x→dudx=2→dx=12du       =4∫12·eu…

Q: evaluate the integral 30 6x+フ×+1

A: