vi. ſ cos(3 Inx)dx

Q: S sinx cosx dx

A:

Q: 3 cos(x)³ dx

A: We need to evaluate integral.

Q: 7. S tan 5x dx

A: Using integration

Q: 5. ſ cotx(cotx + cscx – sinx)dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 6) | cos(/x). dx

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

Q: 4 sin“ dx

A:

Q: e sinh 2x dx

A: The given integral,       ∫e-xsinh(2x) dx

Q: Soa cos vax dx

A:

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 cos32x dx.

A:

Q: 7)S sin2xcos* x dx

A:

Q: 32. Vx arctan x/2 dx

A:

Q: 2. dy + ycotx = 1 dx

A:

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

A:

Q: Evaluate

A:

Q: 3 ſ dx – S sin²5xdx

A:

Q: 5. Sx? cos 6x3 dx %3D

A: We have to evaluate the given integral by using theorems of antidifferentiation.

Q: 9. S sin(4x – 2) dx

A:

Q: (#6) S sin³ (x)dx =

A: Given  Rewrite  sin3x=  sin2x * sinx  Use Pythagorean identity sin2x + cos2x=1

Q: S sinxcos(2x)dx

A: The given indefinite integral is∫sin x· cos 2x dx We have to find the value of the given integral.

Q: [(1+cos 3x) dx 3x)?dx + cos

A: Given: I=∫(1+cos(3x))32dx

Q: S sin5x cos³x dx

A: Given∫sin5xcos3xdx

Q: S cos³ 3x dx со

A:

Q: d dx sinh(Vx)=

A:

Q: 9. Sx* Sinx dx

A: To Evaluate: ∫x3sinxdx Concept: Integration By Parts:∫udv=uv-∫vdu

Q: S cos 2x dx COSX

A:

Q: s sinzx cosx dx

A:

Q: . S sin(x²) dx

A: Given integral: ∫01sinx2dx We know that 2sin2θ=1-cos2θ So, we have ∫011-cos2x2dx12∫011-cos2xdx

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

A:

Q: A. sin(3x) dx

A:

Q: S cos" (3x) dx CoS

A: Apply integration by parts

Q: S sin2xsecx dx

A: LetI=∫0πsin2xsecxdxI=∫0π2sin2xsecxdx+∫π2πsin2xsecxdxWe know that sin(2x)=2sin(x).cos(x)I=∫0π2secx·…

Q: 3. Stan tan³ 3x sec ¹ 3x dx

A: As per our company guidelines, we are supposed to answer only one question. Kindly post other…

Q: cos (4x)dx

A:

Q: )S sin cos5 x dx

A: Solve the following integral

Q: 8. Sedr cos 2x dx

A: Integration of e3x cos2x

Q: cos 6x cos 2x dx

A:

Q: S sinx dx

A:

Q: dr(sec'x) dx

A:

Q: Cos (Jx) dx

A:

Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: cos (In4x2) dx

A: Topic:- integration

Q: S cos³ 3x dx

A:

Q: fx cos 2x dx

A: Let's solve given integration.

Q: S cos 8x dx

A:

Q: +y (cotx) = 5e* dx

A: Given;

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

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

Q: 5 S'sin (x) dx

A: