| (4x - 1)2_x dx

Q: 17x-6 - dx x² -x² - 6x 2.

A:

Q: 7. Find. V2x dx - 1

A:

Q: Evaluate f 2x³ +9x (x²+3)(x²-2x+3) dx

A: Evaluate ∫2x3+9xx2+3x2-2x+3dx=?

Q: [ (x²ex - 12/²7/1₁) dx x + 1,

A:

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

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

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: 3- fx³ In|x| dx

A: The given integral is ∫x3 lnx dx

Q: Find: ydy-xdx (x2+y2) 0< x<1 & 0 <y<1

A:

Q: (3x -x2 dx 3.

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

Q: Find xª – 2x² + 4x +1 dx. x³ – x² – x +1 -

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate: 3x-7x 1- S dx 3x+2

A: The solution follows as:

Q: Q3. Evaluate f: 2*+1-5x-1 dx 10

A:

Q: メ Find dy S-3xメ+)X-2) (x211) (2X+3)

A: We have to find the derivative of y

Q: 2x +9 Find- , if y = dx x-5x+1

A:

Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

A:

Q: Evaluate: 3 f(-x² + 4x-1)dx 1

A:

Q: dx J-2 (5-4x-x²)/2

A:

Q: 2x* - X* dx 「奈 3. スx* + 1

A:

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: Find d^2/dx^2 x=1 (exlnx)=

A:

Q: (a) S v16 – 9x²dx using th - (b) dx using thes V9-x2 dx using the subs

A:

Q: 2 + 3x + x) dx . 3x² + x) t 3

A:

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: 3-4x-10 x²-x-6 dx.

A: Given integral ∫x3-4x-10x2-x-6dx. The objective is to evaluate the integral.

Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: Find dy if y= (4x+3)/(x2+6)

A: Quotient rule for derivative: ddxuv=vdu-udvv2

Q: 4) f(x) = sec-(1+x²) %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (a) f dx 2 √3x-x²

A: To Evaluate:    ( a ) ∫03 dx3 x - x24  ( b)  ∫0∞ 3-3 x3 dx

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: 1. f (x) = 1 – 8x

A: Consider the given function, fx=x1-8x=x11-8x=x1-8x-1   As we know, 1-x-1=1+x+x2+x3+⋯…

Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с.…

A:

Q: - Evaluate f 2*+1-5x-1 dx 10*

A:

Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: 1-3x dx Jo J2x-3x² 4. 2х— Зх?

A: Given problem is

Q: Evaluate f 4-V2x+1 dx 1-2x

A:

Q: ¹₁¹+x² x + 2y dy dx -12x²

A:

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: - (x³-x²+2)dx x-1

A:

Q: Find: ydy-xdx (x2+y2) 0<x<1 & 0<y<1

A:

Q: Find for 7x3 + 4y = 3y² dx

A:

Q: 2Rx-3 + (x² – 3)] dx а. - (Rx2-3x+1)5

A:

Q: Show that d (x3 Inx -국x) 3) = 3x² In x dx

A: Hi! You have posted multiple question. So, we will be solving only the first question as nothing is…

Q: Number 18

A: Here we use trigonometric identity and u substitution.

Q: to use absolut 5n dx (x- 1)(x2 + 4)

A:

Q: Find the derivative. d (3x4 - 6x2 + 3x – 5) dx (A 12x3 – 12x – 2 B 12x3 – 12x + 3 3x5 - 2x3 3x2 - 5x…

A: we have to find the value of ddx3x4-6x2+3x-5

Q: 20. Find f2x/(5x-3)dx

A: