Evaluate the double integral : 9 dy dx 36 – 12 - 12 -36

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: Evaluate the double integral : dy da O 35 O - 77 O - 35 O 77

A:

Q: Which is NOT included in evaluating the integral? (Use partial fraction decomposition method.) 4 2x…

A:

Q: Compute: 1+2 dx

A:

Q: dx 1. xV4x-25

A: 1. To find:               ∫dxx4x2 - 25

Q: *csch(2 sin 2x)cx 1. V1-4x let u= du=

A:

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2

Q: Evaluate the integral: 5x/8x² – 1 dx - 5 (8x2 – 1)- + C (8a? – 1)-+ C (822 – 1) + C -(8x2 – 1) + C 8…

A:

Q: x2+1 - dx x4-x²+1

A:

Q: a) Determine whether the integral da 16 2x is improper or not. Justify your answer. b) Evaluate the…

A:

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: 8. Evaluate the integral 4 + 6x dx Vx

A: In this question we have to solve the integration given. we can write , x=(x)12

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: Integrate the following: dx 1. a) V9x² +12x-5

A: Solution:-

Q: Evaluate: 4e-2* dx. Show your work!

A: Please refer the attached image for complete solution.

Q: Evaluate ſ²¹₁ (y +1) (y² + 2y)³ dy. Give your answer correct to 2 decimal places.

A: The given equation is, We have to solve this definite integral to get an answer in 2 decimal…

Q: Evaluate: I = +3 dx - 1

A: The given problem is to evaluate the given improper definite integral. Given integral, I = Int (0 to…

Q: Evaluate: 2 (+8xy) dy dx

A:

Q: 4 7 dx x2 – 9

A: Given, ∫047x2-9dx

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.