- 2- Solve: (2x +1) a.) dx3 +2y 3e* dx %3D dx2 + 6(2x+ 1)+4y = (2x+1) [t= In(2x+ 1)] %!

Q: (8x³ - 15x2 + 9) dx

A:

Q: Find -2 (4x3 + 12x² - 2)dx

A: Evaluate the difite inetegral: Formula used:

Q: Calculate: fx²e³dx

A:

Q: 3 2x dx 2? - 4х + 5 C. 2)

A:

Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: Solve: In(x + 2) – In(4x + 3) = In %3D

A: Given equation is lnx+2-ln4x+3=ln1x.

Q: Solve

A:

Q: (4x3-6х) dx 3. S x*-3x²+2

A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

A:

Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: X-2 K = 5 3K+2X

A:

Q: ((-2x +5)dx

A:

Q: 3(5+2x) = 45 + 8x

A: We will find the value of x.

Q: -8x? + 16x + 8 dx (x – 1)2(x² + 1)

A: We will solve the problem

Q: -1²+2x dx

A: Solution: ∫0∞e-x2+2x dx Compute the square write -x2+2x in the form : x2+2ax+a2 factor out -1…

Q: solve this pls

A:

Q: X Find | dx x²+8x+12

A:

Q: √4x216x + 19 (x - 2)6 S - dx

A:

Q: 3x³ 4x / (3²¹-4-2)=[ X3 dx +C

A: Given query is to find the integral.

Q: (4x² – 5x)5(8x – 5) dx

A:

Q: s dx 20+ 8x - x²

A:

Q: • S (++:) (- 1 x2 – 1 dx - x2

A:

Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

A:

Q: Solve (2y + 5)dx = 6dy O a. x = 12In(2y+ 5)+ c O b. y = 3In(2x+5) + c C.x =-In(2y +5) + c O d. x =…

A: Given (2y+5)dx = 6dydx6 = dy2y+5

Q: dx -x² – 4x+12

A:

Q: xy'=y+ IX2-y2 ху

A: We have to find the general solution of the given differential equation xy'=y+x2-y2 .

Q: solve 9.) In (3x-13)-8=3

A:

Q: x 9e + dx 4

A: I=∫9ex4dx

Q: dx 1. S V-x2+ 6x + 3

A:

Q: ( -a2 + 2x + 4 dx p3 – 4x2 + 4x

A: We have to find the integration.