Use an appropriate substitution to integrate 12x³(x++1) °dx .5 A 3x4 +x (x++1) 10+c 10 B u 10 10 D) None of the other answers (x++1) 10 E 10 (x++1) 10 F 3x4. 10

Q: Evaluate x³ 2x² +7 dx S x² Ox² - 2x - 72 +0 0²-2x - 1 + C X O2+2 +c+C -2+7ln x² + C -

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Q: 1. Simplify the following 2x 6x³ ÷ x+1 x²-1 a. b. (x +(2+√3)(x − (2+√3)

A:

Q: 5. 1 de 9+x2

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

Q: 5. Use the substitution method to evaluate r1 5xe32+2 dr. 0.

A: To determine the value of the integral.

Q: 3(x + 15) = 12

A: We have 3(x+15)=12

Q: 3(x + 5) = 18

A:

Q: Perform the following operations: 2. (2x4 - 5a3 + 3x2 – 5)/(x+ 2) 3. (4x - 2r3+ x² - 5x + 8)/(x² –…

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Q: x² + 4x - 4

A:

Q: 5x – 4x3 + 8x )dx

A: One property of integrals that will be used is ∫f(x)+g(x)dx=∫f(x)dx+∫g(x)dx. Another property of…

Q: Simplify √175x^6y^11 to the form a√b

A: I=175x6y11x=x12a.b=a×b

Q: Rationalize the denomina Vx +1 Vx +2 x +1 /x +2 (Simplify your answer.

A:

Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

Q: (4x−y) ⁹

A: To find the 5th term of the following binomial expansion.4x-y9

Q: 3x² - 8x + 1 | x² − 4x²+x+6 dx; use А x-2 + B x+1 + с x-3

A:

Q: 1 x(4 + х)3dх 24

A: To evaluate the integral: ∫2426x4+x13dx Solution: Here lower limit of integral is 24. Upper limit is…

Q: 6. Expand and simplify: (3x +2y)4 Show all intermediate steps.

A:

Q: 3x hp Find for 2 Әх (2x + 3y) 5. Select the correct answer below: 15(2x + 3y) O 10(2x + 3y)4 О Зу 2x…

A:

Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

A:

Q: 5 + 4x + 3 ) dx Find x4 + C

A: ∫(4x+5x4+3)dxApply linearity:4∫x dx+5∫1x4dx+3∫1 dx

Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

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Q: 2 x³+6x´+3x+16 dp: c) x3+4x

A:

Q: 16. When (2x- 3)' is subtracted from 5x, the result is x²-12x-9 2x - 12x + 9 3x + 12x-9 4) x + 12x +…

A: Given:         2x-32 is subtracted from 5x2 is    here 2x-32 is in the form of a-b2=a2+b2-2ab

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: 3. -119x+139+5x+x²x6-23- [(27+5x)+(-7x+2x²)] when x=-2

A:

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: If possible, write 25 – 21x – 14x² as a linear combination of 2 − x − x², 2 – 2x − x² and 3x − 3 +…

A:

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: If possible, write -6- 19x - IIx" as a linear combination of -1 - -619x11x² = (-1-x-x²)+ (1 + 2x +…

A: Write -6-19x-11x2 in the linear combination of -1-x-x2, 1+2x+x2 and -1-3x-2x2.

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

A:

Q: 3 + бх + 5) dx Find 26 + C

A:

Q: 10. Remove the parentheses by multiplication: a. 6(3a-4) = b. x(2x + 10) = c. 9(9x-9) = d.…

A:

Q: 1 T √ 8 54 C X (2x + 1)(x²-x+4) 回 Submit

A:

Q: Determine the value of 7A+6B if 19x2 + 41x + 16 A (x+ 1)² Cx +B (x – 1)(x +1)2 Answer:

A:

Q: Simplify 6x4+9x³ – 12x² -3x²

A: Here we have Simplify the 6x4+9x3-12x2-3x2