x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 - 9 614 3.

Q: 9. Integral (2x-5) dx x²5x+3

A:

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: 9x²-6x + 2 dxp. x3 - x2 Evaluate

A:

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: dx 3. 4

A: We have to find the value of the integration                            ∫xy2+x2432 dx Since we have…

Q: dx Integrate: S x²-3x+2

A:

Q: 8,1 CLASSWORK a.) 4x dx 2x +3 1-

A: To evaluate the given definite integral.

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: 3/2 x+3/2 x² - 2 Show that dx = In 3.

A: Since there are multiple questions posted, we will answer the first question posted (4). If you want…

Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

A:

Q: 2 [(3 sec2 x + - x)dx 4

A: Integrate

Q: Evaluate the integral (4x -7/13 – 5x13)dx. „7/13 (4x -7/13 - 5x13)dx help (formulas) -

A: We first distribute the integration

Q: Solve the integral. 6х — 3 1.5 -dx 4x2 – 4x + 1

A:

Q: Find the indefinite integral and check the result by differentiation. dx 9x2 Part 1 of 7 Observe…

A:

Q: 5. Evaluate. |2x – 4| dx -

A:

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: Can i get help step by step?

A:

Q: •0.6 x² -dx V9 – 25x2 0,

A: …

Q: -2x +5 Evaluate 10-4x -2y dy dx 3x 25 3

A: The given integral is: ∫01∫3x-2x+5(10-4x-2y)dy dx

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

A:

Q: 7. Evaluate x²+2 + (x − 1)(x − 4)(x+2) - -dx.

A: ∫1ax+b dx =1alnax+b+C.

Q: 19-x² dx 2

A:

Q: 2 1. x(-x² + 1) dx 16 dx 4x2 2. 3. dx x3/7 -V4x dx 4. 5. . (-2x! – x295) dx

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: Integrate the function. Vx2+36 dx 5x2 Select one: A In x2+36 А. 1 + x/ - Vx2 + 36 + C 5х В. Bx + In…

A:

Q: (a) S v16 – 9x²dx using th - (b) dx using thes V9-x2 dx using the subs

A:

Q: X 3- Ssin ² x dx ។

A:

Q: 4. Evaluate: - V16. dx 16 x2 -

A:

Q: 4а. tanx + 1 %3D 0

A: Given: tanx+1=0

Q: 5. Show that (x² + 1)e-* dx = -x²e-x – 2xe-x – 3e-x +C

A:

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: 4) f(x) = sec-(1+x²) %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Integrate the function. 2+81 dx 4x2 V In Vx2 + 81 + x x2+81 4x + C In Vx2 • 81 + x] Vx2 + 81 + C 4x…

A: Given,            ∫x2 + 814x2 dx

Q: Find the value of xg in 1 decimal places (positive value) using Secant Method (5th Iteration) f(x) =…

A:

Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: | (2x-1) In(5x) dx A) (x2 - x)In 5x - x2 + 2x + C 2 B) x2 - x)in 5x - +C x2 5x - X2 + x + C 4 D) x2…

A:

Q: Evaluate ·S dx 2 ²√x²-9

A:

Q: Integrate N² xsin³ (x²)dx

A: Here we will solve given intigral,

Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: 4. Evaluate -dx. V16 – x2 -

A: Given integral:

Q: Find:  ∫5-9x/ (x-1)(3x-2) dx  where x > 1.

A:

Q: 1. Evaluate [(2sin 2x+3Tanx – 5 e-5* +4x' -7) dx .

A: Integrate each term

Q: | 3tan-1(x)dx = %3D 2프-21n2 In(4) 2/3 None 을 + m2 2 In(÷) | 3 3 - In(4) 6 3

A: Solve by parts method of integration.

Q: ∫[(1/ (x2√(4 - x2))) dx] Please show all work

A:

Q: 6-6r dx x-3x -2 In|x3 – 3x| + C In|x3 - 3x| + C -1 +C 3(x³ – 3x)

A: The detailed solution is given below Thank you

Q: 3. (a) Determine 3 4 dx VI - x², + x2 (b) Determine 3 + V1- x2 4 dx 1+ x2

A:

Q: 19-x 2 Find -dx 2 x² 5.

A:

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…

Q: 9, (x2 + 2x - 5) dx

A: