Evaluate the integral: (23/-64 dr

Q: Evaluate the integral by making the appropriate substitution: u = 38 fa² (2³ − 1) ³ dx = [ - 38 fx²…

A: Topic = Integration

Q: e" + 2 dr e# + 2x 18.

A: Explanation of the answer is as follows

Q: 4 x 105) / (-1.52 x 109)

A: It is from simplification topic

Q: Evaluate the integral: ³√25x²dx √2³ √25 - 22²

A: The given integral

Q: Evaluate the integral: (9si + 15sj + 4k) ds k i+ j+ Answer:

A:

Q: Evaluate: ¡14 O -1

A: Given, i14  We have to evaluate it.

Q: Evaluate the integral: rV1+ 25 /1+ 25z°dz + C

A:

Q: Evaluate the integral: a V1 + 492 da

A:

Q: s s 3 dx Find S°

A:

Q: Find the inverse of 75 in (U1024, ®,1).

A: →In (Un,⊗,1), the inverse of an element mis defined as, x∈Un such thatm⊗x=1i.e. m⋅x=1(modn)i.e.…

Q: Compute: 19 (4-2i)(4+2i)

A:

Q: Integrate, rounding to three decimal places 12 8 12 x²-36 as needed

A:

Q: tdt 36 + 4t4

A:

Q: Solve the equation (tan x + 1)(sin x - 1) = 0 on the interval [0, 2π).

A: (tan x + 1)(sin x - 1) = 0

Q: 12 So cx 202x2+3x+1

A: Given  To find antiderivative , we need to apply partial fractions Factor the denominator part

Q: 2r? xp : Vi – 4x³

A: The objective of the question is evaluate the indefinite integral.

Q: a5) Evaluate the integral by interpreting in terms of abeas. (x-125-x=) dx it -5

A:

Q: Calculate : L c* a*exp(-2²)dæ C * x* c= 15.8 Answer:

A: Given: ∫-∞∞c×x4e-2x2dx

Q: S 3 dx 5x² + 11x + 13/2

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.