Homework: Evaluate the following integrals: Please, expert, I do not have money and my financial situation is from the poor class. Solve me as many questions as possible, please 6. fx5 √x³ + 1 dx 7.S dx √x+ ³√x dx x2-x3 8.f 9.f- dx 3 x-x5

Q: 2 х3 +3х6 1 x4

A: Explanation of the solution is given below...

Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: 3(4)0* =21

A:

Q: (3x²+8x-12)dx 1. x3+7x2 + 12x

A: ∫x+1(x-1)x2dxperform the partial decomposition=∫-2x-1x2+2x-1dxApply…

Q: L dx x-1 -1 -x²+1

A:

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

A: ∫2x2-34x+5dx

Q: 5.[(2√x -3x)² dx

A: Given, ∫2x-3x2 dx

Q: 3. S 2 x²+a² x4 = _ (x² + a²) ³² 3a²x3 -dx = + c

A:

Q: 5x² + 3x - 2 x³ + 2x² J -dx

A: To Evaluate: ∫5x2+3x-2x3+2x2dx

Q: (2x5-x3-1)dx x³ - 4x

A:

Q: x(2x? + 1)6 dx

A:

Q: d. √³|x² – 3x − 4|dx - -

A:

Q: 1 dx x² + 6x + 9

A: We have to evaluate the integral: ∫1x2+6x+9dx Rewriting the integral,…

Q: -S X √196+x -dx =

A:

Q: s dx 20+ 8x - x²

A:

Q: S 9 x²+25 -dx

A:

Q: (3x² - 10)dx x² - 4x + 4

A: The given integral is ∫3x2-10dxx2-4x+4

Q: 2. Evaluate 6x²e4x³ dx.

A: Let 4x3 = t

Q: 9. 23/2 3√x+1 - S dx

A:

Q: Evaluate (4x6 - 2x³ + 7x − 4)dx.

A:

Q: 10. Evaluate (4x-8)ex²-4x+3 dx

A:

Q: 2. Solve a. f b. S C. S. dz 22-25 dx 9-4x-x2 dx x²+6x+16 d. S e. S dx dx √25-x2

A: Step 1:Step 2: Step 3: Step 4:

Q: 4. f 30x²5x³+3 dx e

A:

Q: 2. Solve a. f b. S C. S. dz 22-25 dx 9-4x-x2 dx x²+6x+16 d. S e. S dx dx √25-x2

A: ### Part (a): ∫z2−25dz​This is a standard integral that can be solved by using partial fraction…

Q: 3. S tan¯¹ √√x dx

A:

Q: X+2 dx Vx2 +9

A:

Q: x? + 2x dx Vx³ + 3x² + 1

A:

Q: 2x9 21. Evaluate ſ dx 1+x10

A:

Q: By using completing the square dx can be written as

A: We will complete the square in denominator

Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

A:

Q: 3 – 4x2)(x + 2vx) dx -

A: