4. ſ cos xesinx dx

Q: 3.3 Inx + tanxe d 4-4x -sinte dx

A:

Q: 7. S tan 5x dx

A: Using integration

Q: 26) If y=sin(-0).find dy d0

A: Given.

Q: 2. cos“ y sin’ ydy

A:

Q: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: 1. (4 - y?)dy dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: S cos(2x)e2x dx

A: We need to evaluate: ∫cos(2x)e2xdx

Q: S sin 2x sin 4x dx 7.

A:

Q: 10. Find , if y = dy 1-cosx dx 1+cosx

A: Given  y = (1- cosx) /(1 +cosx) To find dy/dx

Q: 14. S4 cos (-3x + 2) dx

A:

Q: 3. S sin*2x cos$2x dx

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 5. | cos(7x)dx

A:

Q: 1+ cosx dx =0 2

A: Here we use the trigonometric identity to solve the given integral.

Q: c- S cos(Inx).dx

A:

Q: S cos 4x cos 3x dx

A: We need to evaluate integral.

Q: S16 sin²x cos²x dx ´x cos-x

A: ∫ 16sin2x cos2xdx

Q: 9. S sin(4x – 2) dx

A:

Q: 12, S a cos Vx dx COS

A:

Q: S sin5x cos³x dx

A: Given∫sin5xcos3xdx

Q: 3. S In(cos x) tan x dx

A:

Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: S 1+cos(3x)dx

A: Given : ∫1+cos3xdx

Q: S cos(7x) cos (18x)dx

A:

Q: 1. Find , if y = x² sin 3x dx

A:

Q: (#5) ſ cos³ (x)sin*(x)dx =

A: Given the function,

Q: S sin(4 + 5x) cos (5x – 4)dx

A: From the given problem: I=∫sin4+5xcos5x-4dx As we know that the trigonometric identity:…

Q: 2. Evaluate sinºx cos1ºx dx.

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: 5: - S cos(lnx).dx

A:

Q: S sin³ (2x)cos² (2x)dx

A:

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: 16. S sin 3x cos 3x(cos 3x+1)² dx

A:

Q: 4. cos 4x cos 2x dx

A: The integration of the integral is cos(4x)cos(2x).

Q: 2. S sin*(2x)cos²(2x) dx 4

A:

Q: 4. S sin¯ 3x dx

A: We can solve the given problem using integration by parts . According to Bartleby guidelines I have…

Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx

A:

Q: 5. S sin5x cos 3x dx

A:

Q: Sõ sin“ 3x cos 3x dx

A:

Q: 5. Sxcot°(10x²)dx 6. S ( tan (3z) dz cos*(3z)

A:

Q: ∫(π/2) cosx dx 0

A:

Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: 4. EVALVATE | sin4x vos5x dx

A:

Q: evaluate the integral.

A:

Q: (1) S cos(7x + 5)dx

A: We need to integrate the given terms.  For this we will use substitution method.

Q: S sin(3x)cos(2x)dx

A:

Q: 13. Find , if y = sin x+cosx cos x dx

A:

Q: S sin 3x cos xdx

A:

Q: 4(cos- (-3x)) = dx

A: Given query is to find the derivative of cos-1(-3x).