Q1/ answer of the following 1- Find y" if y= cscx 1 2 2- Find if y = dx sin2x sinx

Q: 2 Evaluate sin2x dx

A:

Q: 4. у%3D 5/(sin3x +сos3x)

A: y = 5sin3x+cos3x

Q: 4 4 3 Simex.(Sinメ-4). ( Smメ+4) dx CScてメー Cotてメ

A:

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Now,

Q: 7)S sin2xcos* x dx

A:

Q: 6. Find Sin 5x (b) y = THcos 5x dx

A:

Q: 6. S 2sin´x sin(2x) dx

A:

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

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Q: (3 S sin xdx

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

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: 2. S(cos4x – sin*x) dx

A: we know that , a 2 - b 2 = ( a + b ) ( a - b ) And cos( 2x ) = cos 2 (x) - sin 2 (x )

Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

A:

Q: Solve: cosx + sin x + 1 = 0, 0 sxs 27.

A: Given: cos2 x+sin x+1=0, 0≤x≤2π

Q: 1. (3tanx 2 cos y) secx dx + tanx siny dy =

A:

Q: S16 sin²x cos²x dx ´x cos-x

A: ∫ 16sin2x cos2xdx

Q: 9. S sin(4x – 2) dx

A:

Q: 4. ["s 0 sinx + 2 cos x dx

A:

Q: cos8x 8.S -dx sin4x os³tdt dt 9. Ste 1-sint

A: Given the integral

Q: 2x – sin y y' = x cos y

A:

Q: We already know we can do the following problem using u-substitution, with u sin (-5z) cos(-5z) dz

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Q: Find fe2" sin(2x)dx

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Q: (a) S sin³ cos dx . 3

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

Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

Q: Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = 0 %3! dx

A: We will solve it by variable separable form Consider dydx = -8 sin (4x)dy = -8 sin(4x) dx On…

Q: 1. Find , if y = x² sin 3x dx

A:

Q: 6. Find [sinh(4x)sin(2x)dx

A: By using integration by part.

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: S sin (3x) 1+cos² (3x) dx

A: Given integral ∫sin(3x)1+cos2(3x)dx The objective is to evaluate the integral.

Q: )S sin cos5 x dx

A: Solve the following integral

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: evaluate the integral.

A:

Q: 4). | (5 sin 2x) dx = 2

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: Solve dx 유=()+ sin(). tan():y(1) =D좋

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Sõ sin“ 3x cos 3x dx

A:

Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: • TT/3 1– sinx' |dx From right endpoint 1- cscx + n = 4 n/4 coS X

A: We have to find the right end point of the following expression   The given expression is  we…

Q: Find dy/dx if sin-(4y²) = 8x² – 5y3 Answer: Find dy/dx if tan- (xy²) = 3x² – 5y² Answer:

A:

Q: evaluate the integral.

A:

Q: Integrate: 5 sin vx dx

A:

Q: 2 2- Find if y = dx sin2x sinx

A:

Q: Find ∫ sin 2x/( 2 + cos x) dx.

A: The integral is ∫sin2x2+cosxdx.

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

A:

Q: #39 Find yl if sinx + x²y=10

A: Given: sinx+x2y=10

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.