calculate L4 for f(x)=76 cos(x/2) over [2pi/4, 2pi/2]

Q: Find the indefinite integral: cos ( πx ) dx sin, ( π )

A:

Q: cos ( bVx3 f(x) = a ln sin(cx²)

A:

Q: Find the indefinite integral. sinh(6 – 7x) dx

A: Consider the integral  ∫sinh(6-7x)dx

Q: Use implicit differentiation to find dy given y³2 – log(x²y¹) = cos¯¹(1). dx

A:

Q: .2 x cos 9TTX dx

A:

Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

A:

Q: Find integral.

A: We have to find the integral I=∫cos(5x) dx

Q: 6. Solve the definite integral ro e(arcsin(x)) dx. V1 - x2

A: the value of the integral is 1-e-π2 see below the answer and calculation

Q: If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

A: Given function f(x)=4cos(2ln(x))

Q: Find the family of antiderivatives of f(x) = sin 3x.

A: Given that f(x)=sin3x      ...(1)

Q: cos xdx sin x

A:

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the indefinite integral. sinh(4 - 7x) dx

A: evaluate the indefinite integral ∫sinh4-7xdx

Q: xe2X sin(e)dx 2x2

A: As per guideline we have to solve only one

Q: Find the indefinite integral. X cos 8TX2 dx

A: To evaluate the integral: I=∫x cos 8πx2 dx⇒I=∫cos 8πx2 x dx...(1)

Q: Evaluate the indefinite integral: ∫ x2 sin(x3 + 1) dx

A: ∫x2sinx3+1dx

Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

A:

Q: Differentiate the following using chain rule Y = In (cot 3x – 2) Y = log cos? 3x

A: We need to find the derivative of Y=ln cot 3x-2 and Y=log cos23x. First problem: Now,…

Q: Find the indefinite integral. ∫(x2 cos x)dx

A: The given integral is ∫x2cosx  dx. Let u=x2  and   dv=cosx dx. This implies that du=2xdx  and…

Q: Find the nth-order differential of the function y=2x.

A: To find nth order differential of the given function.

Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: Find the indefinite integral. | x cos 9x² dx

A: Given : ∫xcos(9πx2)dx

Q: Find the indefinite integral ∫ sin x/√cos x dx

A:

Q: Find the indefinite integral S (8x2/3 + 5* – cos(x))dx and verify the result by differentiation.

A:

Q: Find the indefinite integral. sinh(8 – 7x) dx

A: From the given problem: I=∫sinh8-7xdx  ....(1) As we know that; ∫sinhxdx=coshx+C

Q: Find the derivative of   n^[ ln(cos u) ]  . Where n = 744

A: We will use logarithmic differentiation and chain rule of differentiation to find the derivative of…

Q: Find the indefinite integral.∫ 8x cos2x dx

A: To integrate the indefinite integral: ∫8xcos2xdx

Q: Solve for x in the interval 0 < x < 2n. log (sin (x)) – log (cos (x)) = 0 a) x = 5,

A:

Q: Find the indefinite integral. sinh(4- 5x) dx

A: To find:∫sinh4-5xdx

Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: What is the derivative of y = 10sin 5x 5 In 10 cos x 10in 5x 5 In10 (10sin Sx) A. C. 5 cos x In 10…

A:

Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

Q: If f(x)-logCos4x + sinx.Then find 9 (x) JP at x= sec 2c dx 6.

A: Given function is: f(x)=logsec2x|cos4x|+|sinx| To find the value of 9df(x)dx at x=-π6

Q: Find the linear approximation of f(x)=ln x at x=1 and use it to estimate ln(1.24). L(x)=?…

A:

Q: Solve the definite integral ro e(arcsin(x)) dx. V1 - x2

A:

Q: If f(x) = sinh 2x − e2, find the exact numerical value of f"(ln 2).

A: Given : f(x) = sinh 2x − e2

Q: Find the indefinite integral ∫ sin x/(1 + cos x)   dx

A:

Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x+1) 3- xy + x²y 3 at x = 1

A: Here, We need to find the derivative of the given functions. To solve these questions, we need chain…

Q: Find the definite integral of sin x -dx 0 1+cos x

A: Given: I=∫0π2sin x1+cos xdx

Q: calculate the value : f'(x) 3. a) f(x)=4xe**+ln(sin/x)+2cos(x³ +2x+1)

A: f(x) = 4xex3 + lnsinx + 2cosx3+2x+1f'(x) = ?

Q: Find the indefinite integral. ∫e−3x sin 5x dx

A: ∫e-3x sin5x dx

Q: Calculate for one real root of tan x = 4x with xo = 1.2 up to four decimal places using the…

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

Q: Solve the definite integral e(arcsin(x)) dx. /1 – x²

A:

Q: (sin-l x)² dx V1-x²

A:

Q: If f(x) = 4 cos x – 6x, find the relative percentage error in f(x) for x=0, if the error in x is…

A:

Q: Use U-Substitution to evaluate the definite integrals. Sž cos 2x dx (1+x2)2

A:

Q: arc sin z = -i log(iz + V1- 22).

A: