QUESTION 4 To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration by parts? x’sinx — 2x cosx+2 +2 / COST dx + C x’sinx + 2x cosx − 2 | cosx dx + C -2 fo -2fsir x²sinx + 2x cosx-2 sinx dx + C x’sinx − 2x cosx −2 -2 COST cosx dx + C

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: S(csc x cot x + 9x°)dx Csc x + x° +c - sec x + x³ +c | CSc x + x9 - sin x + x³ +c sec x + r9 + c

A:

Q: Question 2 Periodic functions are functions that repeat themselves over the domain. The period of a…

A:

Q: What is dy/dx for y=cos(sinx)? O a) dy/dx = -sin(cosx) Ob) dy/dx = sin(sinx) O c) dy/dx =…

A:

Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

A:

Q: عو + Y¹" + 3 Y" + Y' + 22 = 0 general Solution : Y = C₁ cos ax + C₂ Sinba + exp(-22) (C₂ Cos √ 1+1…

A: The auxiliary equation

Q: sinhx dx 1+ coshx ) A 1+ coshx B (1+coshx)? (1+coshx)² D 1+ coshx

A: We have to find

Q: Sin22xcos2xdx integration from -1 to 1

A:

Q: In integrating the function f(3x + 5)(cos) dv using integration by parts, what would you choose for…

A:

Q: solving (2 x sinxy+x^2 ycos xy ) dx + X^3 cos x y dy = 0

A: given the expression is ; [xsin(xy)+x2ycos(xy) ] dx + x3cos(xy) dy =0

Q: cos2x- sin2 cos2x For dr=F(x) +C What is F(x)? cOSx-sinx A -3 sinx- cosX 2. Cos - COSX+sinPx 3 B…

A:

Q: integrate dx / x^3-x^2  (I do not understand how to set up and complete the A+B+C part

A:

Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…

Q: 7. f sinx cos³ xdx

A:

Q: d^2y/dx^2 + 3dy/dx + 4y = 3x + 2 Utilize the indeterminate coefficient technique to solve the above…

A: Here is the, solution