S (3K +8e -x) dx

Q: 4x – 3 - 3 Given : | dx x² (x² + 9)

A: Given : ∫4x2-3x2x2+9dx

Q: 2X+3-=X 3X%=DX メー3

A: We will solve the given equation to find the value of x that satisfies the equation. First of all we…

Q: x2-3x+1 i) S xln²xdx and ii) S7 dx. (x+2)(x2+1)

A: Given: ∫x ln2 (x) dxFormula: (ln (x))'=1x∫ x dx=x22+C

Q: Find 3 3x3 3 2Va ) dx - x5

A: here we have to find the integration of given function. the solution is following.

Q: xsin-1x > [4) S*s dx [4] S Y1-x2

A: Here is the solution

Q: x3-27 dx 2. ズ-3

A:

Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: (3x -x2 dx 3.

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

Q: 2x+3 a) S; dx x2-3x+2

A: We integrate the following by using substitution rules and factories the denominator.

Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: x-1 (d) S. dx . x5

A: Given

Q: 3. 9x -dx (x² +7)

A:

Q: x² – 16 - dx = Mx + 2)3

A:

Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: 25+1 c) r³-3x²-10x dx

A:

Q: r/64–x² r61-x²-y² x dz dy dx -67+x²+y²

A:

Q: B: Find dy /dx 4x5-5x+2x3 2- y = x2

A: We have to find the derivative dy/dx.

Q: 3 csc2 V1-4cot² x x dx

A:

Q: x+7 dx. egral: | x² - x-2

A: To find the integration

Q: 2 + 3x + x) dx . 3x² + x) t 3

A:

Q: 1 b. 4*(x³)dx -1

A:

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: a. S f (x² - 2x + 1) e²x dx

A:

Q: f3xcos(4-x*)-8xV4=x² dx s(4-x²)-8x/4-x² dx —:

A: Let us solve the integral using substitution method in the next steps.

Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: f(x)dx =| -8 -4 -4 (9f(x) – 7)dx

A: see below the steps and calculation

Q: (2x2-x+6)dx (х2—х-2))

A:

Q: | (2x-1) In(5x) dx A) (x2 - x)In 5x - x2 + 2x + C 2 B) x2 - x)in 5x - +C x2 5x - X2 + x + C 4 D) x2…

A:

Q: (3x4-43)dxc+(xy²-2x?4)dy:

A: 3xy2-y3dx+xy2-2x2ydy=0 fx,y=Mdx+Ndy ∂M∂y=∂N∂x For M=3xy2-y3∂M∂y=6xy-y2 For N=xy2-2x2y∂M∂y=y2-4xy…

Q: (iv) S: (1-x²)z dx x8

A: Given:

Q: х — х* - 3х - 2 X | dx x* - x'+ 4x – 4x 3

A:

Q: Find d3y dx3 of y = x³e-x

A:

Q: S (2 + x)dx √4-2x-x²

A: We can solve the integration as below.

Q: 2 v³ +3v° (a) (b) SF(secxtan.x}dx |dv

A:

Q: r (x+3) dx V1-x2

A: Given- ∫x+31-x2dx To Find- The value of the integral.

Q: J 2x - 11 dx 2 x²+x-6

A:

Q: -2x 6. A) Find dx 2x 1.

A: We have to find derivative

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: a) Evaluate -5 S₁v 1 √√4 − (x − 3)² dx -

A:

Q: 3 -dp 72 + x2 Integrate: + C

A:

Q: 2x + 5 4. -dx x2 + 16

A: Given: Let I=∫2x+5x2+16 dx To Find: To evaluate the given integral.

Q: dy у+x3 + 3x2 - 2х dx %3

A:

Q: X-1 dx -x² - 4x- 2

A: Given, ∫x-1-x2-4x-2dx  We have to integrate it

Q: x-6x-4 dx x+2

A:

Q: 3x Evaluate x² +¹+e³ª)dx.

A:

Q: iii) So z dx 1+x2

A: Given: ∫01 x1 +x23dx To Evaluate given integral Proof: We will evaluate the given integral by…

Q: SV2*- 16 dx 2.x

A: Consider the integral: ∫e2x−16dxApply u…

Q: x3-1 dx J2+2x+5

A:

Q: x+3 k) S- dx x2+6x-11

A:

Q: X 2 dx = V4-x2

A: I=∫01x24-x2dx =∫01(4-x2)+44-x2dx =∫014-x24-x2dx+∫0144-x2dx =∫014-x2dx+4∫0114-x2dx Here  ⇒∫a2-x2…