(b) Approximate the definite integral f"/² cos(x)dx by employing the Composed Midpoint rule with n = 4.

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

A:

Q: 5m/2 sin x Applying Simpson's Rule Approximate T/2 dx using Simpson's х Rule with n = 4…

A:

Q: Evaluate the following 1, the integral from 0 to π/2 of Cosx/(1+sin^2 x) dx 2, the integral from…

A: 1). the integral from 0 to π/2 of Cosx/(1+sin^2 x) dx   = arctan(sin(x))    Answer: π/4

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

A:

Q: Find the indefinite integral.

A: The question is taken from the calculus in which we have to find the integral value of given…

Q: 1 * dx 1+ sin x + cos x

A:

Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: valuate the indefinite integral given below. -1 (2æ) dx 20 tan 1+4x2

A:

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: Find integral of sin^2 (x/2) dx with bounds of 0 to pi

A: Find the integral of sin^2 (x/2) dx with the bounds 0 to π.

Q: Use integration by parts to establish the reduction formula: Jx" cos x dx = x" sin x – n x"-1 sin x…

A:

Q: xe2X sin(e)dx 2x2

A: As per guideline we have to solve only one

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: 7. Find the integral of the hyperbolic function below. 6 sin(x) cosh[cos(x)] dx

A: Evaluate: ∫6 sinx coshcosx dx

Q: Use a suitable substitution to find the indefinite integral S csc(sin 0) · cos(0)d0

A:

Q: By using Beta function, the integral I tan(0) d0 is

A: To find value of integral∫0π2tanθ3dθ by using Beta function. Bm,n=ΓmΓnΓm+n…

Q: 1. Calculate the Integral sin x cos x dx

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

Q: What is the definite integral of sin^5 (x) cos^3 (x) dx if the lower limit is zero & the upper limit…

A:

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral SIn(tan x)…

A:

Q: What is the integral of sin^5 x cos^3 x dx if the lower limit is zero and the upper limit is T/2?

A:

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

A:

Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places…

A:

Q: Find the indefinite integral. ∫arctan x dx

A:

Q: The integral of the given function | sin22x cos 7x dx is equal . ....

A:

Q: Use Property 8 to estimate the value of the integral.

A:

Q: Find the general indefinite integral

A:

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

A:

Q: Given the integral sin(3x + 5) dx cos(3x + 5)

A:

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

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

Q: S tanʼx dx

A: Answer is given in next step.

Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: Solve the Indefinite Integral. S sin Vædz

A:

Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

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

A:

Q: The linear approximation at x = 0 to sin(6x) is A + Bx where A is: Preview and where B is: Preview

A: First of all, consider the formula to find the linear approximation at any point a for function any…

Q: Find the derivative. cos X d 78° dt dx 1 a. by evaluating the integral and differentiating the…

A:

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

A:

Q: Q2- Find for the following functions :- dx 1- y = (Inx)/tnx 2- y = x cos-1 x - v1-x² +sin-1x

A: We have to find dydx for the following functions... 1. y=lnx1lnx2. y=xcos-1x-1-x2+sin-1x

Q: Evaluate the integral.  integral sin 3  x cos 2 x dx

A:

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

A: Given: I=∫0π2sin x1+cos xdx

Q: Evaluate the definite integral.

A: ∫012arccosx1-x2 dx Consider, ∫arccosx1-x2 dx Now put, arccosx=t⇒-11-x2=dtdx⇒11-x2 dx=-dt Therefore,…

Q: Find the general indefinite integral.

A:

Q: The actual error of the approximation of I = x² sin (x³) dx using composite Simpson's rule with n=4…

A:

Q: Find the indefinite integral ∫ [arctan(x/2)] / (4 + x2) dx

A: ∫arctanx24+x2dx Now put, arctanx2=t⇒11+x22·12=dtdx⇒11+x24·12=dtdx⇒44+x2·12=dtdx⇒24+x2=dtdx⇒14+x2…

Q: The approximation of 1 = f*cos(x³ - dx using composite Simpson's rule with n= 3 is:

A:

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

A:

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

A:

Q: (a) Evaluate the integral t tanx dx by using the reduction formula of tangent function.

A: