6x² dx -2, then a = JI (A) 1 (B)-1 (C) 2 (D)-2 (F) 3

Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: r 4x² – 21x – 23 dx b) 4x+3 4x +5 c)

A:

Q: c2 c4-x² xe²y 2. dy dx 4-y

A:

Q: 2、fx)= メー 9(x) = メー %3D Df- {R}\o

A: Solution: The objective is to find the domain of the given function

Q: d. ' = [ * -2 e. X' = .ジ [4 -3 え

A: This is a question of Differential Equation.

Q: Example 4: Solve i) y" + 7y' + 10y = 2x + 3e*

A: the given differential equation isy''+7y'+10y=2x+3exfirstly complementary function CF and then PI…

Q: 8 (3x3 – 2a2 + 1) dx -3

A:

Q: Cos2 10x d 8.

A: The integral is given by,

Q: √= - 4x + 43 x² 11x + 18 dx = +C

A:

Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: -2y: 3.

A:

Q: 4. (D2 + 2D + 1Jy = 6

A:

Q: If x3 + y3 = 7, find the value of dx2 at the point (-1,2). The value of dx2 at the point (-1,2) is…

A: Consider the provided equation, x3+y3=7 we can write as, y3=7-x3y=7-x313 Find the value of the…

Q: d2/dx2 (5x + 1)4

A:

Q: • 2b 26² – 12 2a2 dx a³ +b?x+3x²+3b² - - Evaluate

A: Solution: Apply linearity -2∫b2bx2+6x-b2x3+b2x+3x2+3b2dx   .............................(1)

Q: 3. (D² — 2D + 1) у %3 е* In a

A:

Q: cIn5 cln3 o 3x-y-3z dzdy dx = (b – 1) 3s 131:JNI Jigull %3D التكامل قيمة الثوابت الحقيقية a,b

A: We need to solve the given integral: ∫01∫0ln 5∫0ln 3e3x-y-3zdzddy dx This can be evaluated as…

Q: e* a) 16 +e2x dx xp b) | V3-2x2 dx c) x9x2-16 dx d) | x3x-2 dx e) - 8x + 20 dx x +9

A:

Q: (D2 – 4D + 4)y = e3x

A: Given ODE is: (D2-4D+4)y=e3x

Q: (7-x2)dx 3x3-2x2-x

A: Let I is the value of given Integral.

Q: 2. 24 Ca+2c)x t 2d 8x3-2x²-27x tH8

A: Integration is a method to obtain the anti-derivative function of a given function. The definite…

Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

A:

Q: 2 dx 9-36x²

A:

Q: -10x4-9x3-48x2- 13x-48 dx - (x³ + 2x)(2x² + 3)

A:

Q: e2x dx 4 + e4x 13.

A: We have to find the integral of the given function.

Q: (а) 2,3 + 1 %3 -7а? — 6х – 7x² (b) x* – 5a2 + 4 = 0

A:

Q: 2. e3x* (y + 6x²y)dxdy =?

A: Consider the provided question, According to the given information it is required calculate the…

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: Find the derivative of function.

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Determine the general solution of: - 8 + 22 - 24 d*y dx dx dx

A:

Q: - 48x3 – 80x2 – 70x – 126 dx Integrate: 16x2 + 25 + C

A:

Q: 1 Ha² – D² - 2D+3 dr² - 3)e"} D² – 2D+3

A:

Q: (2) √(2x³² - 4x²) -4xº)dx (b) [(72+ + ²) dx (c) [(5x² + 7e +3x+2)dx 3x

A: In this question we have to solve the Integration.

Q: 5. (D4 + 2D3 + 10D²)y = 0

A:

Q: Example 4: Solve iii) y" + y = 2sinx + 3cosx.

A:

Q: d4y Q4\ b) Find : Y=3X³-4X²+7X+10 dx4

A: Given: Y=3x3-4x2+7x+10

Q: (D6 – 3D5 + 3Dª – D³)y = 12

A:

Q: (x²–16)3/2 dp-

A:

Q: (ax-2) dx x2+ 2X + 15

A:

Q: c3 (3x² + 9y²) dxdy 2

A: To evaluate the integral

Q: dx = 6x³ (3+ y²) 3/2

A:

Q: b. 3+V5-x 3I

A:

Q: d?y Find dx2 7x2 + y2 = 6 dx2

A: To find the derivative

Q: (20" + 6a²)dæ + 6x²) dæ Find (2,x7

A: ∫(2x7+6x2) dx

Q: d. En=2 (-1)" %3D2 Inn e. 2n2+1

A:

Q: dx 2. 5x² +16

A: Question:- ∫dx5x2+16   Solution:- I=∫dx5x2+16 I=15∫dxx2+1652            standard form of…

Q: ip 3x -5 am and mTS mQR 2x 15 cn, then what is naR and mTs ?

A:

Q: d4y Find Y=3X³-4X?+7X+10 dx4

A: Given y=3x3-4x2+7x+10 To find d4ydx4 Formulae used : dxn=nxn-1 dc=0, where c is a constant.…

Q: Sa4-2x3)5(4x3- 6x²) dx

A:

Q: z²√(-z² + 1)5 dz

A: