sin a + cos a = V1- sin 2x

Q: Verify the identity:

A: The given identity is sin3x+cos3x=sinx+cosx1-sin2x2

Q: Integrate (sin θ - 2r cos2 θ) dr + r cos θ (2r sin θ +1) dθ = 0

A:

Q: sin(2r) dr 9- cos (2.x)

A: Integrate

Q: sin' xcos* x dx x cos

A: Perform integration

Q: COs x 10. S V4-sin2 x

A:

Q: sin(2n – 1)x dx , Un %3D sin x

A: Yghhhhhhg

Q: sin x cos x dx x Cos

A: Given integral, ∫sinx cos2x dx

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: sin(nx) + sin(2nx) + sin(3nx) = 0.

A:

Q: 2 + sin x Differentiate Y x + cos

A:

Q: Find integral.

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

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

A:

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: sin(x) cos²(x)dx

A:

Q: sin-1 х — у- dx + (tan-1(yx-1))xdy = 0 | cos

A:

Q: sin x dx 1-2 cos x

A:

Q: sin 2x cos 2X I+ 3 cos4X

A:

Q: sin x dx cos2 х

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

Q: sin x a) 1+cos2 x dx

A:

Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: sin x dx 1- sin2 x 4. cos x dx 2+3 sin x 5.

A:

Q: sin 20 d0 J Vcos² 0 + 16 V cos?

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: (cos(3x) sin(x) – sin(3æ) cos(x)) da

A: In the given question we need to evaluate the integral- ∫cos3xsin(x)-sin(3x)cos(x)dx , which can be…

Q: sin- x - y· dx + (tan-(yx-1))xdy = 0 cos-12

A: The given differential equation is x-ysin-1yxcos -1yxdx+(tan-1(yx-1))xdy=0. Simplify to obtain the…

Q: SOLVE THE EQUATIONS

A:

Q: sin(x) dx J1- cos²(x)

A: ∫sinx dx1-cos2x Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: sin 0- cos 0 = V2

A:

Q: sin (x'0 + 4) dx = %3D

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: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: sin Vx z = 1+ cos Vx COS

A: We havez=sinx1+cosx

Q: sin x dx 2 (1+ cos x)² 12.

A:

Q: sin x dx + x cos² x 5.

A: Integral of a function is the anti derivative of the function, meaning area of the graph of the…

Q: 1+ sin 0 b) coso coso 1- sin 0

A:

Q: = sin? (esin" t) + cos-1(2t3 (x) = tanh-1 x + In V1– x2 |

A:

Q: •π * (sin³ x)√1 + cos x dx 2

A:

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

A:

Q: Q.23) cos Q.24) cos(sin ¹x) = 24 sin11x) √1-1 d)√1-x² b) (sinx+1)+c 11

A:

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given:

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

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

A: Use substitution method

Q: | sin(2x) 2) +c 2 + cos(2x) da 2

A:

Q: (* sin - 2y cos )d = 0. dr+2ry cosdy COS

A: Find the attachment

Q: [sin x cos“ x dx 14 4. Integrate:

A: