Evaluate the integral. х3 - 3х - 9 х2 - х - 6 Зх— 9

Q: 2. [L-4) 5 (y+3)*

A:

Q: 14. Evaluate the integral: | ze dz. 1

A: Integrating by parts.

Q: Evaluate the integral of ax^2 e^-bx dx

A: We will use the "integration by parts" method to find the evaluation of the integral.

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

Q: 5. Find the indefinite integral 6.x²dx (2x³ + 7)3/2

A: The solution for the above question is as shown below.

Q: evaluate the indefinite integral.

A:

Q: 3

A: Distribute the z^4 in the denominator with all the terms in numerator and simplify each part.

Q: (1 point) Evaluate the integral by making the given substitution. dx (3x + 14)4 3x +14 u

A: Using integration by substitution

Q: Evaulate the indefinite integral x^12/((16-x^2)^(15/12))

A: To integrate the given function

Q: 3 a2 Calculate the integral: da (*- 9)2 (x+ 9)

A: ∫3x2x-92x+9dx=3·∫x2x-92x+9dxTaking partial fraction…

Q: Evaluate the integral. ds 7s- 2 ds = V7s-2

A:

Q: Evaluate the integral. 1//3 2-1 tA - 1 8 dt

A:

Q: evaluate the indefinite integral.

A:

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

A:

Q: Evaluate the integral dr. (9+)3/2

A: Use trigonometric substitution to simplify the integral.

Q: 2,1 (1/x^3+2) find the integral

A: To Determine: find the integral of 1x3+2 in interval 2,1 Given: we have a function f(x)=y=1x3+2…

Q: 2- dr Va2 + 1 Evaluate the integral

A:

Q: Evaluate the integral. 1 ds V5s - 9

A: Given,         ∫15s-9ds

Q: What is the integral of 2. 3. 5.

A:

Q: dr 5. 2 ?+3 2

A:

Q: 6 Use properties of integrals to evaluate S (3x + 2) dæ, if 9 S (3x + 2) dæ = 73. 5. 6

A: ∫abf(x)dx= −∫baf(x)dx

Q: Evaluate the indefinite integral: 22 dz = 23 +2

A:

Q: x²dx 8. S a4-x4

A:

Q: In evaluating /4-x dr by substitution, if 4 = 4-x then what will be the resulting indefinite…

A:

Q: Determine the indefinite integral 4 7 6r -- 5 4

A:

Q: evaluate the integral of " [(x^2)+1] / [(3x+1)^0.5] "

A: The given integral,        ∫x2+13x+1dx

Q: In evaluating 4-x dx by substitution, if u =4-x then what will be the resulting indefinite integral…

A:

Q: 1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

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Q: yz dxdzdy -126 -84

A:

Q: de 2/2 V5 9 18

A: Solution: Here let I=∫dxx29-x2 Substitute: x=3sinu u=sin-1x3 and dx=3cosudu Thus,…

Q: Evaluate the integral. 8 V1-t2

A: We have to evaluate the integral: ∫02281-t2dt We know the formula of integral, ∫1a2-x2dx=sin-1xa+c…

Q: Evaluate the integral 10 S₁ 15x-3 ldx

A: This question can be solved using the concept of modulus function. As per modulus function a=a if…

Q: find the integral I Jr*-16 Jx

A: We use the trigonometric Identity  (Secx)^2-(tanx)^2=1

Q: Evaluate the integral

A: ∫xndx=xn+1n+1+C

Q: Evaluate the integral 22V4 – 2² dz

A: Use the trigonometric substitution to evaluate the given integral. Also calculate the limits for…

Q: Evaluate the integral: a/100 – a* ,3 -

A: We have to evaluate the integral ∫x3100-x2dx.We shall solve this by substitution method. Let…

Q: -    ∫  (1/u) du                                                          5 / 4

A: The integral is given as, ∫011-2t1+t-122dt Apply the substitution  method,…

Q: V1+ vz dz

A:

Q: 2. Evaluate the integral

A: To integrate

Q: Evaluate the integral. 0.8 V 16 - 25x2

A: The given integral is  ∫00.8x216-25x2dx

Q: Evaluate the integral. dr V 25 + 2

A:

Q: 4x-15 dr 2-4r+15 Find the Integral

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Q: Find the indefinite integral. Vx +8 xp- 3 7 2 Vx +8 6 6 4 3 - X- 35 + + C X- .3 15

A:

Q: Determine whether integral accurte to 8 7 J3 x – 4

A: Given, ∫387x-4dxwe know thatIf exist b, a<b<c, fb=undefined, ∫ac fxdx=∫ab fxdx+∫bc fxdx

Q: Evaluate the integral /_s 10+2z dz. 24 00 1,

A:

Q: Evaluate the indefinite integral. 12 / (3z)5 + 4(3z)²)((3z)³ + 1)“ dz =

A: Given, ∫(3z)5+4(3z)2(3z)3+112dz

Q: Evaluate the integral 22 V4 – 22 dz 0.

A:

Q: Evaluate the definite integral 10z2 + 4 dz 5 108 5 16 2

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

Q: Evaluate the improper integral .a-2 dz. 1 dr. (4-a)2

A: