3. Find if (a) y = 22" In (cot (7x)*) (b) y = sin? (Arcsin (T) +e-*)

Q: sinx dx 7+cos?x 1 arctan /7 (COSX V7

A:

Q: Find  the slope of the curve y=cos((pi tanx)/6) at the point where x=pi/2.

A: given,  y=cos(pi tanx)6  at x=π2

Q: Find the first derivative: y = 3 arcsin(cos 2x) %3D O-7 O -8 O -4 O-6 O-5

A:

Q: arc cos (11x) VI-121 y2 G(x)=?

A: We are asked to find the derivatives.

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A:

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: Find dy/dx of inverse tan(1/x) multiplied by secant(x)

A:

Q: Calculate sin(x) -dx. √cos(x)

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

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: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

Q: tanx . In(cosx) dx

A: we have to evaluate,   I=∫tanx . ln(cosx) dx

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

A:

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A: Given: sin-1xy=4x+3y We know that ddxsin-1x=11-x2…

Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: 6.) y'of y = Insin(arctan 3x)

A: This is a basic differentiation question

Q: S) - aresin 2. 2 arcsin 2. is constant for 0sxs 4.

A:

Q: Find the trigonometric integral ∫x tan4 x2 dx

A: Given: I=∫xtan4x2dx for evaluating given integral, we substitute  x2=t…

Q: S sin5x cos³x dx

A: Given∫sin5xcos3xdx

Q: Solve the equation for x  arcsin√2x = arccos√x

A: The given equation is sin-12x=cos-1x

Q: What is the area of the region between the sine curve and the x-axis from to 2 ? -1 2 1 4 3.

A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

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A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

Q: Estimate 1 7 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round…

A: I=∫017 cos (x2) dx             f(x)=7 cos (x2)b=1, a=0, n=4h=b-an=14=0.25aThe Trapezoidal…

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

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A:

Q: eteR MiNe SiN IN°()COS)dx

A:

Q: 4. COS dx sin?

A:

Q: 6. In(x*y?) %3D х* +уз 7. У- Arccos(e2x)

A: Given In(x3y2)=x2+y3y=cos-1(e2x)we need to find the second derivative of the given equation

Q: 2x y = Arc sec 3

A: We will use the formula of derivative of arc secx to solve this question.

Q: Grade: 107.5/156 Print Version dy sin(5æ) Find for y dx dy Preview ||

A:

Q: 106)Find the nth derivative of cosx cos2x cos3x AND ALSO FIND S dx sin?x

A: Cos2x = 2cos^2x -1

Q: Determine the length of the arc y=ln(cos x) for 0≤x≤π3.

A:

Q: find integral sin 5 dx

A: Given integral can be written as

Q: 16. S sin 3x cos 3x(cos 3x+1)² dx

A:

Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: a (a) L{sin at}=- s2 +a?

A:

Q: 4. S sin¯ 3x dx

A: We can solve the given problem using integration by parts . According to Bartleby guidelines I have…

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A:

Q: Find the arc length of f(x) = In(sin(x)) for - 10 8

A:

Q: 4. EVALVATE | sin4x vos5x dx

A:

Q: Eoaluate dx, Hence find the value of sin dx.

A:

Q: 16. S cot xdx /1 + In sin x

A:

Q: Find the length of the curve y = ln (sin x), π/6 ≤ x ≤ π/2

A: Given y = ln (sin x), π6≤x≤π2

Q: If y = -sin x, what x-value corresponds to a y-value of 1 between 0 and 27? [? ]T

A:

Q: 1 dp- sin x cos x cos?,

A:

Q: S sin 3x cos xdx

A:

Q: 3. Find the equation of the tangent line to sin- (x – 2y) = 2xy- 1 at the point ( 1, ;).

A: We will solve the problem