7. Solve for x. a cu +t) = c(c+d) 9 +3

Q: dr (1² + 1)²

A:

Q: Find -2 (4x3 + 12x² - 2)dx

A: Evaluate the difite inetegral: Formula used:

Q: 8. If (x - 2c)2 - 10(x- 2c) + 21 = 0, what is the value of x?

A: Given (x-2c)2-10(x-2c)+21=0Ans:We know that (a-b)2=a2+b2-2abLet x-2c=uu2-10u+21=0This is in the form…

Q: Let a > 12 be a constant. Evaluate 4x2 + 32x + 40 + 2a dx (4x + a)(x² + 6x + 10)

A:

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 -

A:

Q: 4. Show steps and find -9x²-9x-4 x³ - x 3 √⁹x² - dx. 3

A:

Q: L[3t²+ 4t3/2]

A: We have to the Laplace transformation of 3t2+4t32

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

A:

Q: a. Given that 22³ ... 3z + 1 can be expressed in the form Ax (x²+1) + Br+ C, find the values of the…

A:

Q: Suppose y = (x² + 3æ)(x – 2)(x² + 1).

A: Given y=x2+3xx-2x2+1  We solve this by using product rule  ddxuv=udvdx+vdudx

Q: S C3x-7 +5x -3 - x6 + 5x" t19) dx

A:

Q: 23

A: We will solve the problem

Q: 4. Determine the sum and the product of the roots of 3x2 11x – 6. %3D

A: Sum of roots = 11/3 Product of roots = 2

Q: S√4t² + 3 dt

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: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

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

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

Q: 4dx 3 x - √√x² S

A: We will use simple Integration rules to solve this question.

Q: dt t² - 8t + 20 +2

A:

Q: -2

A:

Q: (x – a)² +y² = a²

A:

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: d) Solve (0.8x?y³z– 0.6xy²z² +0.4y²) + (0.2y²)

A:

Q: 5) Find GF

A: Given,

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

A:

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

A: Here we have to show the above integral.

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

A:

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

A:

Q: (15x - 8) 226

A: Given,

Q: A - 3 In 1x³ 3x²1+C BIn 1x³ 3x²1+ C x²–2x x3 3x² C dx In 1x³ 3x²1+C In 1x³ 3x²1+ C -

A: The given integral,    ∫x2-2xx3-3x2dx