16. Evaluate the integral:23 sin x dx.

Q: Evaluate the interated integral: LS-² x² sin(y) dy dx

A:

Q: Evaluate the iterated integral. 5 sin(x + 6y) dy dx

A:

Q: Evaluate the integral :(x² + y* )dzc>xcy = ?

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx = (xy + 1)²

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)²

A:

Q: V2y? – 3 dy y?

A:

Q: Use substitution to find the indefinite integral.

A: Substitute u=9x2+18x,du=18x+18.

Q: x sin z dz dy dx 0, y

A:

Q: Evaluate the iterated integral. z sin(x) dy dz dx

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. 12 dy dx = lo (xy+ 1)²

A:

Q: aluate the integral by first reversin TE: Enter the exact answer. dx dy

A: Sketch the region of integration according to the given limits of integration- 0≤y≤9,y≤x≤3

Q: Evaluate the integral. 9 dx V64 - Sx2 sin +C tan sin +C tan +C a eo

A: To evaluate the integral

Q: Evaluate the iterated integral.

A: For iterated integrals of the form ∫ab∫cdf(x)g(y)dydx. They can be simplified to ∫abf(x)d∫cdg(x)dx.…

Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

A:

Q: 52. Use the substitution u = tan x to evaluate the integral dx 1+ sin? x

A:

Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

A:

Q: tan(x)dx, Ind: u = cos(z)

A: We have to calculate the given integral: ∫tan x dx We know the identity, tan x=sin xcos x Therefore,…

Q: Evaluate the double integral. 7x dA, D = {(x, y) | 0 s x s a, 0 sys sin(x)}

A:

Q: Evaluate the iterated integral. /8 3/y sin y dz dx dy Jo

A:

Q: Evaluate the integrals. ∫sin z sin (cos z) dz

A: Consider the given integral ∫sinzsincoszdz

Q: Evaluate the integral. NOTE: Enter the exact answer. Ty dy dx =

A: Given, Integral , I=∫01∫x2x xy3dy dx To find : Value of Integral

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx Jo (xy+ 1)²

A:

Q: Evaluate the integral: x sin(y) dy dx

A:

Q: x dx Evaluate the improper integral by using a suitable substitution. x4 + 49

A: To evaluate the improper integral by the suitable substitution.

Q: Approximate the following integrals using the Trapezoidal rule. 0.5 b. dx d. re dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Evaluate the following integrals: dx dx dx ii) S 2 sinx+8 cos x a sinx+b cosx 1+tan x

A: (i)

Q: Evaluate the integral. NOTE: Enter the exact answer. •3 xe"y dy dx =

A:

Q: j x. sin x d

A: Integration: I=∫x.sin x dxWe need to solve this by by parts method.   ∫u.v dx=u∫v dx-∫[ddx(u) .∫v…

Q: 5. Use trigonometric substitutions to evaluate the integral: I Væ(4 – #)dx.

A:

Q: Evaluate the integral 7e* sin(t – s) ds

A: Explanation of the answer is as follows

Q: evaluate the iterated integral

A:

Q: Evaluate the integral. 'Tt/2 7 cot (x) dx T/4

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin?(t) cos“(t) dt

A:

Q: Which of the following integrals are improper? Why?  integral 0 to pie  tan x dx

A: At x=π/2,  tan(x) is undefined On the left side of x=π/2 , tan(x) approaches ∞ And on the right side…

Q: Evaluate the indefinite integral: dx = +C. %3D

A:

Q: Evaluate the iterated integral. x2 sin(y) dy dx

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx = (xy + 1)?

A:

Q: a) Evaluate the integrals using appropriate substitutions. dx Sine i) S ii) S de Cos? 0+1 1+16x?

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

Q: Evaluate the integral L I sin (y²) dy dr.

A:

Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: Evaluate the triple integral 5 z sin x dy dx dz 3.

A: Given:

Q: Evaluate the iterated integral. 5x 15x? sin y dy dz dx Jo

A: Given ∫0π∫05x∫0xz15x2sinydydzdx Evaluate the iterated integral

Q: Evaluate the following integral. * R/2 sinx sin y dz dx dy 0 0 0

A: Given Integral is  ∫0π∫0π2∫0sinxsinydzdxdy

Q: Compute the given integral. Enter your answer using exact values. fe-52 dx = +C

A:

Q: Roro is looking at the iterated integral (x² + y²) dx dy and suggest to Mpho that the integral does…

A:

Q: For the given integral dx sin2x/1+ cotx what is u? note: no space between symbols in your answer

A:

Q: Evaluate the integral. (Use C for the constant of integration.) sin(t) dt os°(t) coS

A:

Q: Evaluate the integral cos (Ty) dy dr. dx.

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.