3 dx = o 1+x .A 3 .B 2n 3. .C V3

Q: xdx 5. I 4x 2 * – 4x +1

A: Given, ∫xdx4x4-4x2+1    ∫dx3x-73 We have to evaluate the integral

Q: dx x+x Vx

A:

Q: 3x+2 2+9x+1 dx

A:

Q: 9) Find 5-2x - dx

A: Given: Find d2dx25-2x for finding second derivative, we find first derivative then find derivative…

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

A: It is required to find the integral ∫4x2+2x-1x3+x2dx. Consider the integrand 4x2+2x-1x3+x2. Find the…

Q: 20x3 dx 2. JT2+1 Vx2+1

A: Explanation of the answer is as follows

Q: 2x2 2-3 dx =? V4x+5 %3D

A: ∫2x2-34x+5dx

Q: dx 4. 8 + 2r2

A: The solution of the problem is given in the next step.

Q: -d 23 X 2 9+хо dx

A: Given integral:- ∫-∞∞23x29+x6dx

Q: 2x3 dx 2x2-4x+3 3.

A:

Q: d 7. { x7 +1 Væ5 + 1 dx

A:

Q: 2x2 - x + 4 dx. x3 +4x Evaluate

A: ∫2x2-x+4x3+4x  dx

Q: dx V1+x + vx

A: Evaluate the integral  ∫02dx1+x+x

Q: 5 4x³-3x²+12 10. Find y = dx

A:

Q: 4x2 -6 dx. x - 4x2 Evaluate

A: Consider the given integration as ∫4x2-6x3-4x2dx

Q: 7x2 + 15 dx. x2 + x Compute f

A:

Q: Solve for x

A: Square both sides.  On right side use (a-b)^2= a^2 - 2ab + b^2

Q: -3x3 5. S V5-x8

A: topic - indefinite  integration note - as per bartleby guidelines we are supposed to solve only…

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: V1+ x² dx 2.

A: Follow the procedure given below

Q: x? + 2x dx Vx³ + 3x² + 1

A:

Q: aluate dx (2x+3)5 (2x+3)-4 + C -8 (2x+3)-4 + C 8 (2x+3)-5 + C -8 None

A:

Q: 3x+x -dx3D O a. 3 O b. 0 O C. -4 O d. 4

A:

Q: 2x9 21. Evaluate ſ dx 1+x10

A:

Q: 3 12x -24x +7 dx. Evaluate x - 2x 12x-24x +7 3 x - 2x = xp

A: Solve integration

Q: S x² x²+49 -dx

A:

Q: 8. Evaluate (3x² +6x² – 4x +1)dx.

A:

Q: 8. J e8x +e4x (e4x+1)²2 dx

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.