x sin x cos x Evaluate : dx. sin x + cos'x

Q: cosx+2sin x)ʻ dx sin x

A:

Q: sin(x) dx Cos(X

A: Given - ∫sin(x)cos(x)dx

Q: Evaluate sin(x+y)-cos(x+y)=1

A: Given: sinx+y-cosx+y=1 Dividing both sides by 2, we get  12sinx+y-12cosx+y=12

Q: (2 cos z-sin z)² dx Evaluate sin z

A:

Q: sin x cos x dx x Cos

A: Given integral, ∫sinx cos2x dx

Q: Use graphs to evaluate

A: Given  and

Q: tanx 2. S -dx cos? x S(cos*x + sin?x) dx +x, x3. Vx. dx

A:

Q: Find integral.

A: We can use substitution technique of integration. In The substitution technique of integration , we…

Q: (sin' x. cos' x dx

A: here given as Consider sinx=t thus cos x dx= dt Thus

Q: sin x Find dy/dx given that y 1+ cos x

A:

Q: y= sin(x + 4) cos (x - 4) y= sec 4x + tan 4x y= Arctan

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: sin x + cos x dx V1 + sin 2x

A: Given {sin x +cos x   dx   [1+sin 2 x] We have to evaluate the given integral

Q: (cos x)(sin x)V1 – sin x dx

A: Let sin x = t , hence, cos x dx=dt . The integral, ∫(cos x)(sin x)1-sin xdx can be written as ∫(sin…

Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

A:

Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: S √√sinx sin x cos xdx

A:

Q: 2) Proof that If y = f(x) = = cos x then dx sin x

A:

Q: | sin“ x cos' x dx 4. Integrate:

A: Given: ∫sin14x cos5x dx  To find: Value of the integral.

Q: sin x dx cos2 х

A: To integrate: ∫sinx dxcos2x Solution: Let t=cosx Differentiating both sides, we get…

Q: cOs x 1. S sin x (1 + cos x) ecosx dx

A:

Q: cos(x + y) cosx siny = coty – tanx

A:

Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

A:

Q: sin(In x) dx

A:

Q: y = tan In(x + sin x) %3D y = sin x + In sin e* %3D

A: y=tan ln(x+sinx) y=sinx+ln sinex

Q: sin z cos z dx

A: solution is given below

Q: (sin x – 3 cos x)dx

A: i will use basic integration rule.

Q: |sin (x)cos (x) dx

A:

Q: 2. Integrate | sin x cos? x dx

A:

Q: (i) * cos x + cos x tan²x dx sec?x (ii) |x – 2| dx (iii) | x²/x* + 1dx

A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

Q: sin(cos y) y 4-lim, 2

A: Limit Solved .

Q: sin' x Evaluate : dx (1+cos x) 1+ cos x+ cos* x 1+ cos x)1+ cos x+cos cos' x

A:

Q: sin x dy (2y Cosx + sin4 x) ax

A:

Q: sin x (1- cosx) dx (1– cos² x)

A: To evaluate the integral: ∫sinx1-cosx1-cos2xdx Solution: Evaluating the given integral:…

Q: 6 sin° x+ cos° x dx sin xcos x Evaluate :

A:

Q: sin ®x cos*x dx. using Wallis formula

A:

Q: 3 sinx+cos x Evaluate S dx. 2 sinxcos x

A:

Q: cos y sin x Let cos y Is continuous at (0, 0) ?

A: We will follow the definition of continuous funtion to solve the problem

Q: d -(cos(x² – 2x)) dx Evaluate

A:

Q: 1. Evaluate: sin r dx COS x sin r cos r dr tan r dr COS dx tanx dr 1- sin r

A: Given: To find: The values of integral.

Q: sin x dy (1 + y) cos x + sin x If y=- , prove dx %3D cOS x 1+2y + cos x-sin x 1+ sin x 1+ 1+ cosx 8.…

A:

Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

A:

Q: cos x dx – sin z V1- sin x Determine

A:

Q: sin’ x cos x dx.

A: Let us consider

Q: (sin x + cos x)dy + (cos x – sinx)dx = 0

A:

Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: sin x dy (1 + y) cos x + sin x If y=- , prove dx %3| cos x 1+2y + cos x- sin x 1+ sin x 1+ 1+ coS x…

A: Introduction :

Q: [sin x cos“ x dx 14 4. Integrate:

A:

Q: SVx+sin/x Evaluate: dx.

A: