Estimate the error if cos t² is approximated by 1 integral , cos r² dt. 4! in the 2

Q: The value of the binary integral is e-xy dxdy . (where a, b are positive real constants) are

A:

Q: Evaluate the integral: integral fom 0 to pi/2 sin^2 x cos^2 xdx

A:

Q: The suitable substitution to evaluate the integral cos (2x) dx is csc (2x)

A:

Q: Evaluate the iterated integral: a S " cos(2) dy dar.

A: Given that the double integral

Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

A:

Q: Evaluate the integral •5 sin(t)dt 6.

A: Given:∫65sintdt

Q: Evaluate the integral. 4tm 2 sin(2t) dt

A:

Q: Use the substitution formula to evaluate the integrals ∫ pi over 4 at the top and 0 at the bottom…

A:

Q: Evaluate the iterated integral: a " cos(2) dy dar.

A: The iterated integral is given as:…

Q: Evaluate the integrals in ∫2ey cos ey dv

A:

Q: Evaluate the integrals

A:

Q: what is the integral of e^(-2a|t|) from -w to w?

A:

Q: Evaluate the integral. 4π S t² sin(2t) dt

A:

Q: Evaluate the integral. ∫0 π/4 tan4 t dt

A:

Q: Evaluate the integral, if it exists.

A: Given: ∫-π4π4t4 tant2+costdt

Q: dx (1 – e²)² -1

A:

Q: | cos' x| dx 3

A:

Q: What is the integral of fcos (2t)dt? COS

A:

Q: What is the integral of f cos (2t)dt?

A: SOLUTION-

Q: 4 – dt 2 cos 4t 1.

A:

Q: Show that the integral -21/RC e dt has the value

A:

Q: Evaluate the iterated integral cos(s') dt a

A:

Q: Evaluate the integral S (t³ In ti+ 3t sin (t*) j+ ) dt. 1-2 x1)

A:

Q: Evaluate the integral.

A: The integral ∫0π6tsin2tdt. We have to evaluate the value of this integral.

Q: Evaluate the integral. ∫0 π Cos42t   dt

A: Given: I=∫0πcos42tdt we know that 1+cos2θ=2cos2θ similarly, cos22t=1+cos4t2 now substituting value…

Q: 2. Compute the integral dy dx by interchanging the order of integration.

A: Order of change of integrals

Q: The integral of the right hand member of the first order LDE +2r cote = sin20 is: de -cos4e + C A 2…

A:

Q: St³ In t dt

A:

Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A: ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

Q: Evaluate the integral / (4 + + sin t)° cos t dt using the substitution u = 4 + sin t. (4+ sin t)°…

A:

Q: Evaluate the integrals in ∫7cos t sin t dt

A: Given Integral,I=∫7 cos t sin t dt

Q: (d) Prove that 1-cos 2x dx is divergent. Hint: Split the expression inside the integral into two…

A: Integral is converges or divergence

Q: au Show that the local truncation error at the pint (ih,jh) of the Crank-Nikolson approximation to…

A:

Q: Find the indefinite integral.

A: Given : ∫tan2tt2dt

Q: Evaluate the definite integral. sin(3t)dt Preview kl3

A:

Q: Find the differential of u = est sin 80. 1. du = 5et sin(80)dt + 8e cos(80)d0 2. du sin(80)dt + 8e5t…

A:

Q: Evaluate the integrals

A: Evaluate∫−π3−π44sec2t+πt2dt

Q: Evaluate the following integral as written. In 8 8 5y dx dy 0 ey In 8 8 | dx dy = (Type an exact…

A:

Q: Evaluate the integral. 2x 1- cos 2t dt COS

A:

Q: or show that the integral Integrate the following diverges: Зе In sin x ii) dx COS X 2e

A:

Q: Evaluate the integral dx (2x + 4)* by making the appropriate substitution: u = dx (2x + 4)°

A:

Q: Evaluate the indefinite integral: 4t cos (t ) dt = %3D

A:

Q: Evaluate the integrals ∫cos t/1 - sin t dt

A: Given :           ∫cos t1-sin tdt

Q: Evaluate the integrals

A: Our Aim is to evaluate the integral given below:-∫-π3π3 sin2(t) dt.

Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

A:

Q: /2 etan y sec y х cos" ydxdy

A:

Q: (integral of -4 to 4) of 5*cos(3t)(delta(t))dt

A: Here,

Q: Calculate the following improper integrals or show they are divergent. (a) | cos(nt) dt (b) /. dx

A: