S, 2x2 + бх dx 1

Q: (8 + x³)5 3x² dx

A: Integration by substitutions

Q: 73 dx

A:

Q: Evaluate (In x)³ dx

A:

Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

A:

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

A:

Q: Evaluate : dx O X+4

A:

Q: Evaluate /" In Vx dx.

A: Given integral is

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

A:

Q: Evaluate Scot ³x 3 dx

A:

Q: Evaluate: S(4sin (x) – 3sec? (x)) dx

A: ∫ 4sinx-3sec2xdx=∫ 4sinxdx-∫ 3sec2xdx=-4cosx-3tanxAdd a constant to the solution=-4cosx-3tanx+C

Q: Find the values of a that make: a (x – 2)dx = 6 %3D

A: An integral expressed as the difference between the values of the integral at specified upper and…

Q: Evaluate: Je(4-)dx

A: Given: ∫e(4-x)dx

Q: (1+x3)5 dx

A:

Q: Integrate the following: x4 -dx 5 (4xº + 9) “

A: Given Data: Integrand: ∫x44x5+95dx One important rule of integration is, ∫fxnf'xdx=fxn+1n+1+C…

Q: S 36x2+25 - dx

A:

Q: Sx²sin (4x)dx

A: Given indefinite integral is

Q: By using the substitution u = VT + 2, evaluate 6+ 3 dx. ¤(/I+2)²'

A:

Q: Evaluate. (Be sure to check by differentiating!) 6. dx, x4 5. 一 6+5x

A:

Q: Evaluate using the tabular method s 5x*ex dx

A:

Q: Evaluate. (Be sure to check by differentiating!) | 16. dx

A:

Q: S 2sin(4x +9)dx

A: Given query is to find the integral ∫ 2 sin(4x+9)dx.

Q: Evaluate. (Be sure to check by differentiating!) |(x³ + 1)*x² dx 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: sec? 5x dx

A: Given query is to find the integral .

Q: (#2) S 3xsin(4x)dx =

A:

Q: Evaluate fx Vx + 10 dx

A:

Q: S(2 + vx)³ Vīdx

A:

Q: Evaluate: ₂₁ (4x²y - z³) dz dy dx

A: We can solve this as follows:

Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

A:

Q: Evaluate ,(x3 + Vx + 2*) dx.

A:

Q: S abc²x-3 dx

A: Evaluate: ∫abc2x-3 dx

Q: Evaluate 3x? dx and , 3x² dx.

A: ∫02 3x2 dx=3x3302=x302=23-03=8-0=8

Q: In2 fin² coshx dx

A:

Q: S,(3x + a)dx = 10 , then a =

A: Given: ∫123x2+adx=10 As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫a·fxdx=a·∫fxdx;…

Q: Evaluate. (Be sure to check by differentiating!) 9 dx, x+ - 9+4x

A: ∫1xdx=ln(x)+C

Q: 3. Find 4. Find 5. Determine -dx

A:

Q: Use geometry to evaluate (2x + 6) dx. -5

A: We know definite integral   ∫abfxdx represent the algebric sum of the areas between x=a to b and…

Q: Evaluate T. 8xyz dz dx dy 14 17 18 15 13

A: We have to perform 3 integrals in the given equation. So that we get a integer from that.

Q: S (In 2x2 dx

A: Evaluate the integral :    ∫ln 2x2 dx

Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: A ezbx? dx 2

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: 11. Evaluate. Leave answer in exact form. S, 2xv7 – 5x dx |

A:

Q: Sí Si (3x² + 4y³)dydx

A:

Q: c) Evaluate [xV2–x? dx by using substitution method.

A: Integrate by substitutions

Q: Q2: Use trig substitution to find 2 + 4x +5 dx

A:

Q: S,12x – 3|dx 3. -

A: ∫04|2x - 3|dx In the limit 0 to 4, we need to open the modulus sign: fx = 2x - 3 = 0   ⇒ x = 32  So,…

Q: as) Find )s(3-1x-4/)dx ) S/2x -3| dx ) S12x-31 da O6) by use chang of variables find

A:

Q: dx J Tx2 – 25

A:

Q: 10 Find ſ," (+ 2x + 6) dx 4 x6

A: