sin x Write an expression for the function f(x), given that f'(x) = and f(1) = 6. f (x) = dt +

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

A: ∫ sin(x)cos(2x)sin(3x) dx

Q: 8 log, 4-37 Using rules for derivatives, find the derivative of f (x) sin x

A: Given: fx=8logx4-3xsinx We know that ddxuv=vdudx-udvdxv2…

Q: sinh x – cosh x + ecoth x dx - sinh?

A: see below the calculation below and final answer

Q: 2 (sin -'x)²dx Evaluate the integral [(sin -'x) dx V1-x

A:

Q: sec² x dx V4 - sec² x

A:

Q: | sin* x cos xdx 4 X COS X

A: This question is related to integration.solve as below

Q: | sin'x-cos'x dx

A:

Q: = * sin (t – 1) dt Find the derivative of the function g( x O sin (3x – 1) sin (2) 3 sin (3x – 1)

A: We will use Newton leibniz formula to solve this question.

Q: dx sinh x - cosh x

A: To Evaluate: ∫dxsinhx-coshx Concept: i. ∫afxdx=a∫fxdxii. ∫exdx=ex+C

Q: ifferentiate the function: y=(x^4 sin^2(x))^(3)

A:

Q: + sin(xx) – 2er )dx + sin(x) – 2e* )dx

A:

Q: sin x 1. Differentiate the function: Y =e y = e* Inx

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: y=sin-1(x/x^2-1)x=3^1/2 find the equation of the tangent line

A:

Q: y-e" sec! x-3x° 2 csC X Sin x-2X

A: on doing the differentiation of this we get the

Q: sin 2x 29. sin x cos 2r = sec x cos X

A: As you mentioned solve question no.29

Q: sin(cosx * x + Vx) (cosx)2 sin (x²) * cos(x –-) sin(x) – 2

A:

Q: Integration of b/1-sinbx dx

A:

Q: sin x+cosx dx sin x-cosx

A:

Q: sin-1 Vx 7. S Vx — х2 dx

A:

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

A:

Q: (8 sin(x) + 7 sinh(x)) dx

A:

Q: sin x 2. Find the derivative of y = 3+2cos x

A:

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

A:

Q: sin x 7. Determine the end behavior of f(x) = %3D

A: Since you have asked multiple questions in single request.so we will be answering only first…

Q: Non Homogeneous LDE yIII  -  yII  =  3  + sin x

A: Given differential equation is y'''−y''=3+sinx. We have to find the general solution of the given…

Q: sin 2x+sin x dx Vsin2x -cos x v.

A:

Q: sin(2 x) + 2 Find the function whose derivative is e 2cos x

A:

Q: (sin x + cos x)dx sin² x sin 2x sec x dx sin 2x dx 2 sin x cos² x

A:

Q: [ sin'x- cos'x dx

A:

Q: sin x Evaluate: / dx (cos x) 3 1. tan x- sin x + c an'x + C X, sin'x + C X. 3. 2 4. log (cos2x) +c…

A:

Q: ∫ cos (ln(x)) dx

A: Given-∫cos(ln(x))dx =∫xcos(ln x).1xdxLet u =x      and      dv= cos( ln x )1xdx  So,du=dx      and…

Q: ind the second derivative and simplify the final result 6. ln(x^3 y^2) = x^2 + y^

A: To find the second derivative of the below equation. lnx3y2=x2+y3

Q: sin x (1- cosx) dx (1– cos² x)

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

Q: dx as a function of x if dt Find dt2 x sin x. dt?

A: We will solve the following

Q: 2. y = tan-¹(cosh x) (sin² x) (sech x) secx [use logarithmic differentiation]

A:

Q: 1. ,sinx cosxdx

A:

Q: Using gamma function, evaluate 0 x* (100 – x²)ždx -

A:

Q: (sin x + sinh x) dx 7.

A:

Q: (3 sin x - sin 3x) dx

A: To integrate: ∫(3sin(x)-sin(3x))dx Solution: We know,∫sin(ax)dx=-1acos(ax)+C Using above standard…

Q: sinh-1 x dx.

A: We can find the answer as below

Q: 1 f(x) = sin(x) – sin(3x) + sin(5x), [0, x] (a) Find the first and second derivatives of the…

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: ) sin(2x) cos(5x) dx Scot (x) csc (x) dx

A: Given: 1.∫sin(2x)cos(5x)dx 2.∫cot3(x)csc4(x)dx

Q: ∫sec^2 x / tan x +1  dx

A:

Q: + Sin(x)(2+Sin(x)) 1+ Sin(x) xuất

A:

Q: sin (ax + b) Find the derivative of - cos (cx + d)

A: The given function is  y= [sin(ax + b)] /[cos(cx +d)] To find derivative of the function i.e. dy/dx

Q: Beta Function 27 dx (*+ 1) Prove that

A: The given problem is to evaluate the given beta function integral.

Q: integral sin -1 x dx

A: Given Data The integral is ꭍsin-1xdx.   Let,

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.