A. By simple integration rules 1. fki+3x-2 + 5x+)dx 2. s**-5x²+4x dx (x-1) 3. S*- x3 -343 dx X-7 4. S Vx² – 10x + 25 dx

Q: ce / √5³² + 25 de -dx Integrate X3 + C

A:

Q: Question 3 Integrate: 1₂ 2x + 11 x² +8x+17 dx + C

A: Here we have to calculate the given integral. We have ∫2x+11x2+8x+17dx

Q: | (2² + æ) (x³ + x1+2) dæ

A: Given,    1.  ∫(x2+x)(x3+x-1+2)dx2.∫7x6-5x4+3x+4x-2x2dx

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: 2) Sxsec²(4x² – 5) dx. 3) S3x Vī– 2x² dx .

A:

Q: d/dx [(2x+1)3(3x2-1)4]

A:

Q: 10

A: Evaluate the integral ∫4x4+310dx

Q: 2 S(4x3 + )dx x+1

A:

Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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Q: Integrate S (2x+1) Staz+X+4) dx

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Q: -3/2 1/2V2 dx 2 dx 5. 6. V9 - x VI - 4x

A: Integration of the functions and substitution of the limits helps to find the solution of the…

Q: x² + 2x – 1 dx 2x³ +3x2 - 2x

A: The given integral is ∫x2+2x-12x3+3x2-2xdx. Here, we use the partial fraction method.

Q: VE/2 xdx

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: 1. S 34x-1 3x - dx

A:

Q: S 10x+11 dx 4x²-4x+5

A: We will evaluate the given integral in the following steps.

Q: x´ + 2x x' - x + x - 1 -d- .3 2

A: Given integral is ∫x2+2xx3-x2+x-1dx

Q: x-4- dx x²-5x+6

A: Given, ∫x-4x2-5x+6dx   We have to integrate.

Q: x2 - 10x - 5 dx J (x - 1)2(x² + 1)

A:

Q: 3X ジ+ 5y+4 -2X -3e+キe मै -29 +8 ジ x ーズ %3D 12)

A:

Q: 41Stañdx= Q22x+1 X'+2X+1

A: (1) Given integral is ∫tan−1xdx It can be written as ∫tan−1x⋅1dx Use integration formula…