L{sin(JF)} = V %3D 4s 2.s2

Q: dx Perform the Integrations 1+ sin x+ cos x

A:

Q: i. j. [x²e Se-2x x² e 4x dx -2x sin 2x dx

A:

Q: 33. sin x dx dy х 0,

A:

Q: (3t+t²)sin (2t)dt

A: We have to integrate the function        (3t + t2)sin(2t)

Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: J cos 2x sin 3x dx

A: To find: The integral of ∫cos2x·sin3xdx. Formula used: Trigonometric formula: 2cosA·sin…

Q: S V3x – I dx а. - b. f cos 7x dx J 2+sin x COS x dx с.

A: As per our guidelines we are supposed to answer only three subparts of a question. Kindly repost…

Q: Q2/Find dx of y = sin(e') + xtan-1x. %3D

A:

Q: j) S(sin³x cos x)dx

A:

Q: Q3/ Evaluate the integrations: Seax cos (e*) dx. A)

A:

Q: cos s x dx 2. S: Vsin x

A:

Q: Q8 Integrate by parts: x sin x dx

A: .

Q: ∫(3t+t²)sin⁡(2t)dt

A: Given that, the integral is ∫3t+t2sit2tdt.…

Q: S V sin(y) × cos*(y)dx × cos° 3 х COS

A:

Q: se C for the constant oT integration.) (7 cos x + 3 sin x) dx

A:

Q: COSX sin x dx 4. S 1-ఆశి అరికి న

A:

Q: I 1 y sin(2²)dx dy. 0. y2

A: See the details solution in below

Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

A:

Q: *)CSフJつ dx 1/2 ウキ

A: Given integration is : ∫121sin-1xx3dx  To find the value of integration.

Q: dy Solve the DE. x +x = sin (x + y) dx

A:

Q: d(sin'xl: I dx VT-X2

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: "/2 sin x dx Jn/a V1-2 cos x 4.

A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of…

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: ) S² e2x sin x dx T/2

A: To find the integration from 0 to π/2 e2xsinxdx

Q: S Si dydx %3D 1-r

A: To evaluate the given double integral.

Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

A:

Q: Find the complete solution of ey sin x dy cos²x = 0 dx

A:

Q: Jrin m In(cos m) dm

A:

Q: 2. f" S"(sinx + cosy) dx dy

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

Q: トキ 4 Sin Yx cos? dn SinYy

A:

Q: A. Integration by parts i) (3t +t²) sin(2t) dt

A: since u have asked multiple question in a single request so we will be answering only first question

Q: d'y Using method of variation of parameters solve + 4y = 4 tan 2x dx?

A: d2ydx2+4y=4tan2x

Q: J dx sin3(4x)

A:

Q: (5) J (x)dх sin³

A:

Q: 24. x² sin y dx dy

A: Given :   ∫-11∫0πx2 sin y dx dy=?…

Q: 4. J S (esc²a – co sec 0 tand) d0 - -

A: Explained below...

Q: (cos x2) dx. Use integration by parts. 1.

A:

Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

Q: dx +x cos(t)-sin(2x) = 0, dt sin(2.x)

A: We have to slove this ODE:

Q: CT/4 p2 sin x cycosx JJI y dz dy dx

A:

Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: d's 元 =-4 sin 2t-- 2 s'(0) = 100,s(0) = 0 %3D dt?

A:

Q: Change the order of integration. "A/2 x + 1 3 sin(x) dy dx

A: Consider the graph:

Q: S sin Vz dx =

A:

Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: L, 4x(1– x²)dx S 2 i) ii) -) dx ? (х + Sin?x

A:

Q: 1) ſx e* dx 2) S x³ e* dx 3) ſx² sin x dx

A:

Q: Solve the DE by Integrating Factors 1. y² dx + ( 3xy + y² - 1) dy = 0

A:

Q: I = Si S (x² + y³) dy dx.

A:

Q: S sin(v3x + 2}dx

A: To evaluate the given integral

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.