(x-4x² +7x–9 - dx x-3 A x3 * - 4x + 3 In Ix-3 I + C C x3 * + 4x + 3 In Ix-31 + C B x3 x? D x3 x? + 4x + 3 In Ix-3 1 + C + 3 - 4x + 3 In Ix-3 I + ( - 3 В O E None of the Above

Q: |(1 - 4x4 + x)/x dx = 1/(2x2) + 2x² - x + C Select one: O True O False J(4csc?x -3sec2x) dx = -4cotx…

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Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: 7a+48a + 36 \252 3.) Sp-41-36 a-5 :6 c:56 5n-49n+72 6.) 6x-x-12 -49 6 b=X5 0 4a-16a-15 4 -16 15 9)…

A: Given:      5v2-41v-36  Break the expression into group.      =5v2+4v-45v-36      =5v2+4v+-45v-36…

Q: 24. d(x) =2x -2x 1-3 1-3 A) 2 --1,0 2 -1-i3 -1+iv3 B) 2 ,0,1 C) 0, 1 D) 1, 2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 2 x-29x+5 S- (x-4)°(x²+3) 2 (x-4)´(x

A: To Solve

Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

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Q: x' – 4x² +7x-9 x-3 A x3 4x + 3 In Ix-31+ C * * + 4x + 3 In Ix-31 + C C x3 - 3. 3 B x3 D x3 *+ 4x + 3…

A: ∫x3-4x2+7x-9x-3dxthis is an improper fraction, hence do divisiondivision…

Q: Vx (1- 2 In 1 1-x/2 | + C A ! In 1 1-x/2 | + C 2. -2 In I 1-x/2 | + C -In 1 1 -x+/2 | + C O A O D E…

A:

Q: 1 ER=1 (- 100 k%3D1 2k+1

A:

Q: x² +2x +3 dx x' +3x² + 9x A In Ix³ + 3x² + 9xl + C ! In Ix3 + 3x2 + 9xl + C 4 3. D 2 In I x3 + 3x² +…

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Q: 6. y = xe* 7. y= 3x.e* 8. y = x² In(x) 9. y =x*(5x – 1) 10. y = (x² + 2x)5(3x-3 +x²)-7 11. y = (1 –…

A: Use product rule of differentiation.

Q: -1 4 -1 1 2 2 5 2 1 y- 3x-1 A. y = -x+3 B. Y-x+3 y - x+3 y - x-1 y- 3x-4 Oc. y--x+4 y= -4x-1 OD. y=…

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Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: 3. y = In (3x – 7) %3D 9. 5. y= Inx? - 1) 7. y= In (1 – x²) 9. f(X)= In (4X 6 + 2X ³) -+ 1)

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Q: x2 dx (x– 1)3 1 In|x-1|- X-1 + C 2(x– 1)? 2 In|x-1| 1 +C 2(x – 1)2 X-1 2 In|x-1|- X-1 1 O Inlx- +C…

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Q: 1.2 Solve for x 1.2.1 x2 +5x- 6= 0 1.2.2 4x2 + 3x - 5 = 0 (Correct to TWO decimal places) 1.2.3 (3x-…

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Q: x-4x+7x-9 r x-3 A. C 4x +3 In Ix-31+ C 3 + 4x + 3 In Ix-31+ x3 x2 + 4x + 3 In Ix-3 I + C 2. *+-4r+3…

A: Topic = Integration Correct option = B

Q: One solution of ay" + (3x + x²)y' + (1 – x)y = 0 about o = 0 for a > 0 has the form Y1 %3D -3+v5 An…

A: Given ODE is x2y''+(3x+x2)y'+(1-x)y=0        (1) We can write it as y''+3x+x2x2y'+1-xx2y=0…

Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

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Q: 2-x Evaluate: dx 4x2+4x-3 긍 Im4x2 + 4x-31 + |2х-1 +C C.긍 I미4x2 + 4x-31 +. |2x+1 +C In In 12x+3 16…

A: We will use some adjustment and partial fraction method to solve this.

Q: 4x+1 dx 4x2 + 2x + 1 A In1 4x2 + 2x +11+C C -In I 4x2 + 2x +1[ + C 3. B 2 In I 4x2 + 2x +11+C -In I…

A:

Q: 28. m(x) = x -3x -4x+12 A)-3, -2, 2 B) -2, 2, 3 C) -2i, 2i, 3 D) -3,-V2, V2 poser 29. n(x) =x* +2x…

A: We find out the roots of given polynomial putting equal to 0 . Follow 2nd and 3rd step.

Q: [x?-5x)e dx Find | O (5x- x2)e* - (5-2x)e*-2ex | O (x² -5x)e--(2x-5)e-+2e¯* O (5x - x²)e*-(5 - 2x)e…

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Q: 1. f(x) = (48x* + 24x + 30) 4 -6 6. f(x) = (2x* + 1) 4 %3D - &r + 17) 3 2. f(x) = (4x* + 5x – 8x +…

A: solution given below..

Q: 2zx-5Zxy-5zyy=0 Zx+4Zy+5Zy+2Z;-Z=x+5y Zxx+10zxy-4Zyy+4zy=0 5zx-4Zxy-4Zyy=3x+4y+13 Zxx+Zyy=0 О а.2 O…

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Q: -5x² +11x+2 x(x+1)² dx 2ln|x| +3 In|x +1| + + + C x+1 Option 1 2ln|x| +3 In|x +1| +++ C Option 3…

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Q: 12x+1 C) (2x+ 1)2 7) If y= then *+2. dy 12x -1 D) (2x+ 1)2 2x12x•5 A) (x+2)2 7 E) (2x+ 1)2 2x B) 22x…

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Q: 5Tanx+13=2ZTanx Lineer (23inx+13)-(2605x)=0 CSCX-(secx-2)=0 Fackr 20033X +C05X-1=0 uva Quie…

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Q: dx Vx3 1 -4 In|x/4|-4x3/4 + C -4 In|x/|- 4(1- x) +C Option 1 O Option 2 -4x4-4 In|1-x'/4|+C 4…

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Q: 1 x" (а) п1 — х1 n=1 (-1)" (b) E x2 – n² n=1 8.

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Q: a. b. dx x+2x³ In S is Inx In 2x² + 1| + C X C √ √2x² + 1 + ₁ C. d. In|2x² + 1 1 + C In x + In|2x² +…

A: Given problem:-

Q: Simplify: x*- 4x-5 x* +2x+1 ペ-25 O A. x+1 x-5 В. ** +1 ○c.ピー5 x +1 x²-25 O D. x-1 x-5 OE. x* -1

A: We write x⁴-4x²-5 =x⁴-5x²+x²-5 =x²(x²-5)+(x²-5) =(x²+1)(x²-5) Also x⁴+2x²+1 =(x²+1)²

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: Given: ∫x3dx4-x2

Q: х3+3x-4 x2 с 1 x² + 3 In x + 4x + C 3 A -x² + 3 In x – 4x + C 3 - 1 x² + 3 In x + 4x + C -x2 + 3 In…

A:

Q: 1) x² - 5x + 6 A) Not factorable в) (х - 3\х - 2) c) (x+ 2)(x + 3) D) (x + 3)(x – 2) 2) p² + 11p+ 28…

A: Solve for the factor

Q: Differentiating (2x – 1)" with respect to x leads to - n=0 а. 2 2n(2x + 2)"-1 n=1 O b. ∞ С. (2x –…

A: We have to find Derivatives of given Summation.

Q: -2 10 4. Solve 7.X +2.A = B_for X when A = 3 -5 and B= -10 1. -1 3. 6. 6. 4 4 1 7 16 11 16 11 16 X =…

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Q: +2x+3 x+3x +9x - In Ix3 + 3x2 + 9xl + C C In Ix³ + 3x² + 9xl + C 3. BIn Ix3 + 3x² + 9xl + C D2 In…

A:

Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: aпалyses). 3" a. an %3D 2n+2

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

Q: 5х - 1 хр- x2-3x-40 a) O 3ln)x - 8| + 2ln/x + 5| + C b)O 4ln|x - 8- 21n/x+5 C c) 3In)x+8 + 2ln/x -…

A: Consider the given function as∫5x-1x2-3x-40dx

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢…

A:

Q: x +1 x(x +4) 8. R(x) = 9. R(x) 2x + 4 %3D 7. R(x) (x- 1) (x + 2) %3D x* + x² + 1 Gra x2 1 \13. P(x)…

A: To graph the given function

Q: 2x³ - 4x² − x − 3 dx x² - 2x - 3 zln |x+1| +31n|x - 3| + C Option 1 2 In x + 1-3 ln|x - 3| + C…

A: Given, ∫2x3-4x2-x-3x2-2x-3dx

Q: x + 5 dx = (9 – x²) + C 5 x 5 V9 - + C 9 V9 - x2 *e 5 x 9 + C 9 - x2 + C 4 9 - 18 v9 - 5 x 18 v9 -…

A: Given:              ∫x+59-x232 dx

Q: n Problem fandf! 2 5(x) = 3+ x 2x 58 f(x) = - x- 1 aa gon 3x + 4 ino bn 2x - 3 01 o01 61. (x) %3D

A: f(x)=23+xto find the inverse of f(x)=23+xput y in place of f(x)y=23+xthen replace the position of x…

Q: -4x' + 2x² +8 9. Evaluate (x² +4)° A. In(x' +4) + arctan+ +C 2 x +4 C. In(x' +4)' + arctan+ +C 2 x…

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Q: x-4 dx x2+2x-15 9. 끓 Imlx + 51-mx-3| +C In]x In]x + 5| – In]x – 3| + C 8 Option 1 Option 2 |(x +…

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Q: 2(3у-7) Зу-7 3y – 7dy + С 2. ans. Jx(1-x²)°dx - (1-х^2)6 + C 8 3. ans.

A: