L[2 sin² 3t] s2+9 1 S s2-36 3 s2–9 1 s2+36 |

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A:

Q: ® y"+zy'+3y=27x

A: Question 1 is solved. Solving more questions are against the policy of bartalby.  Find roots using…

Q: 2+3jy X-j

A: (2 + 3jy)/(x - j) = 2j            (2 + 3jy) = 2j (x - j)              2 + 3jy = 2xj - 2j2 We know…

Q: dx Vx² +9x² (In x³ )° 2

A:

Q: Evaluate S (2x+3) dx x² (x²+1)

A:

Q: X2 dx ex+3

A:

Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: + 9x + 27 dx (x + 3) (x² + 9)

A:

Q: (q/q-3) + 1 = (2/2q+1)

A: To solve for q, firstly, we take l.c.m on left hand side of equation.

Q: 2x (i) da 1+z?

A:

Q: dx 4x2- 4x+5

A:

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: 1/3y+4=1/5y

A:

Q: x* +3 +00 -dx x2 + 3x +1

A: first we solve for indefinite integral…

Q: coth (7x - 3) + C B) tanh (7x - 3) +c I sech? (7x - 3) + C tanh (7x - 3) + C

A:

Q: Y + 7 = 4/3 (x -4)

A: We have to find the slope of the given line also graph the line in coordinate planes.

Q: 11-3x Determine f dx x+2x-3

A:

Q: x+1 3. Jx2 + 2x

A:

Q: S (3×412メ -15)2 2dx

A: The integral is solved as follows :

Q: 3t(2P - 5t + 4) = 68 - 15P + 12t O True False

A: We have To verify 3t(2t2-5t+4)=6t3-15t2+12t

Q: Sxex² dx O 2+x²²/²/2/ HI HIN 6 1 2 HIN ex²+ + C + C + C

A:

Q: 3sin(2x−6)=1

A:

Q: 1/3y+1=1/2y-3

A: We have to find value of y for 1/3y+1=1/2y-3

Q: 8x(x? + 1)3 dх .2 1)³dx -2 Inx 4. 1/4 xp() 3.

A:

Q: Evaluate J sec3x cosecx dx

A:

Q: I-1 I 1² +51 +8 dz

A: Given, ∫x-1x2+5x+8dx