The value of A00 is, 1 1 :// xydxdy A00 0 0 4 The value of Amo is, 1 1 Amo = 2 ху cos mлxdxdy 0 0 1 cOS mл — 1 -ydy m² n? = 2 (-1)" –1 %D m² n2

Q: dx= A B e-1 © 1-)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: •3 x² +1 dx

A: The given integral is- I=∫13x2-23x+1dx Evaluating the integral- I=x33-23x22+x13=x33-x23+x13

Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

A:

Q: x4 「高。 dx x2+1 Find

A:

Q: Please explain the rules applied in each step of the solution

A:

Q: "/ Evaluate the integral dx x²9x² using trigonometric substitution.

A:

Q: for P=Ce^t-CPe^t how do I solve for P

A:

Q: How to use linear approximation to esitmate the square root of 100.5 and cos 29?   (I understand…

A: Let's find.

Q: + 3.x? – 5 b) x² -x+ 2

A:

Q: Show that (A+CBC")- = A- A'C(B'+C"A 'C) 'C" A',

A: Given: A and B are square matrices, C is a matrix of appropriate dimension. Note that…

Q: 7. Use the midpoint rule with four subdivisions to approximate the integral sin(r)dr. You do not…

A:

Q: integrate

A:

Q: ax 5x +16

A: Our Aim is to integrate:-∫dx5x2+16-(i)

Q: (12x² − 8x+5) dx = -

A: To evaluate the following integral.∫12x2-8x+5 dx

Q: 3 +9 -dx

A: ∫x34+9x14 dx Now put, x34+9=tDifferentiating with respect to x, we get⇒34x34-1+0=dtdx…

Q: ( 군-1) dz ; Circle: Iz| = ½ 근(2-2y(z-3)

A: Given integral is ∮Cz−1zz−22z−3dz and circle z=52 We have to evaluate the given integral in the…

Q: 3x* + 12x3 + 6 1. x5 + 5x* + 10x + 12 dx

A:

Q: Solve the integral: A B C D 6√√x +C 3√x² + C 6 33³√/ x² +C √√√x 37 ကြ 3√x dx

A:

Q: Please choose one from the above and integrate it

A: Given:

Q: dr 10. dr 11. (x – 1)2 12. sec 20 tan 20 de

A:

Q: Integrate: dx S ²-1

A: Note that ∫f'(x)f(x)dx=ln f(x) +C, where C is a constant.

Q: The integral of the square root of the sum of two and the square root of y with respect to y may be…

A: Some integration formulas: ∫yn dy=yn+1n+1 ∫ydy=2y323

Q: 3 dx V16-x²

A:

Q: (2x²-10x+15) 22 50 tôi 2x+31(2-3) + G Integrate: f -dx

A:

Q: hi can solve for Cartesian coordinates (Do not solve the integrations)

A:

Q: can you explain why after integrating its lnC instead of C? I think it should be C right?

A: For simplify calculations, we are using ln C instead of C. It makes no difference as ln C is also a…

Q: how do you do the integral of sin^2x multiplied by cos^4x. The answer here was unclear

A: Given integral is By using the results, we get

Q: integrate dx / x^3-x^2  (I do not understand how to set up and complete the A+B+C part

A:

Q: 3 24) [(1 -x² )² dx

A: To evaluate the given integrals

Q: (4 - x*)3/2 dx

A:

Q: V = π(0.075m)^2(0.0015m) ≈ 2.66 × 10^-4 m^3 =

A: Given: The given expression is, V=π0.075m^20.0015m≈2.66×10^-4 m^3. To find: We have to write the…

Q: 6x V100–x* -dx 3D 4

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.