Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain. (a) ∫2dx / √(x2 + 4)        (b) ∫dx/x√(x2 − 9)

Q: p(x) (x - 4 + Dx -4 - )(x - 4)

A: To find P(x)=x-4+ix-4-ix-4 We will use the concept of distributive law to find this.

Q: 2x=20,x what is the comma for

A:

Q: 10 Describe a first step in integrating dx. x² -4x-9

A: This problem is related to the integration. By looking into this problem we can see first of all we…

Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx

Q: Evaluate √16-x² dx

A: ∫16-x2dx

Q: need some help solving 5/3 = (x+4)/x

A: This is just multiplication, addition and subtraction of polynomial.

Q: so, CfOr) = ?

A:

Q: -8/5i

A: given -85i

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.