2x cos x? -dx 1+ sin? x² 8

Q: A constant propulsion force of magnitude F = 10 N acts on a on a rocket of mass 2 x 10 kg. Find…

A: Here a constant propulsion force of magnitude F=104N acts on a rocket of mass 2×103 kg We have to…

Q: 13. If a is an algebraic integer satisfying a + a + 1 = 0 and ß is an algebraic integer satisfying…

A: Given: α is an algebraic integer satisfying α3+α+1=0 and ß is an algebraic integer satisfying…

Q: 1 S₁+ 2√= (1 + √5)² dx

A:

Q: Consider the differential equation y' + y? =t*e! Which of the terms in the differential equation…

A: Given differential equation y' +y2 = t4et

Q: ~3 1 (c) dx (x 1) 3. -

A: Given query is to find the integral.

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: 16)2 secx+ sec x-4 secx-4=0,0sx <2m

A:

Q: 1 11. § 4(x³ + x²¯¹)dx 2

A: The Sum Rule:The Power Rule:And

Q: Find the lowest-order differential equation formed by the family of y?= ax²+be* two-parameter…

A: Solutions: Find the lowest order differential equation formed by the family of y2 = ax2 + b ex  two…

Q: TT 2 2 36. f(csc²x 0 2 cot x) dx

A:

Q: Exomples Porfrm 2 Thera trons of a a convergent fixed pornt methad to approximate the root of the…

A:

Q: 12. If R(x) = e'V(x) then particular solution is

A: To  find  →  1f(D)  ex  V(x)              is particular integralSolution               Let  ,   w is…

Q: QUESTION 10 The total sum of the following series 1 Σ n=1 (n+1)(n+5) equals: O A. 2 7 Ов. 3 11 Ос. 1…

A:

Q: Solve the given initial value problem: y" + 36y = 0, y (0) = 5, y' (0) =-5 y = cos 6x – sin 6x Oy =…

A:

Q: onsider the linear system Ax = b with 4 3 A := 3 4 -1 0 -1 4 an the SOR method be applied to this…

A: It is required to check if the SOR method can be applied to the given matrix:

Q: 5. Each of two boxes contains three chips numbered 1, 2, 3. A chip is drawn randomly from each box…

A: Given: Numbers on the each of the two boxes = 1, 2, 3 A chip is selected from each of the boxes and…

Q: Show that if A and B are sets, then P(A) u P(B) C P(A u B), where P(A) denotes the power set of A

A: For a set A, the set of all its subsets is called the power set of A. Now, consider two sets A and…

Q: Solve the initial value problem below using the method of Laplace transforms. y"-4y' +40y 225 e ",…

A: Taking Laplace transform in the both the direction:

Q: Solve the given equation for x 3. = 2 +5e:4X canned with CamScanner

A:

Q: A own has 40 mail trucks and four datricts in which mail is distributed. The trucks are to be…

A:

Q: Find the solution to the differential equation (9 + 10 y) y' e*. a. 11 y + 10 y2-e* k b. 11 y + 7…

A: On simplification, we get

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.