Evaluate the integrals. It may be necessary to use a substitution first. ∫ x dx/x2 - 3x + 2

Q: Find or evaluate the integral by completing the square.

A: Consider the polynomial: ax2+bx+c. We try to obtain an expression of the form, kx+d2+e from the…

Q: t² - Vi + Vi csc(t) dt

A:

Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: Evaluate the integral. 3x35x211x + 9 -dx x²-2x-3

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Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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Q: 2x 35. x2 + 6x + 13 -бх + 13

A:

Q: бх + 9 dx V6х — х2

A:

Q: dx 1₁ (x² + 8x + 13)² press numbers in exact form. Use symbolic notation and fracti - C as much as…

A: Given ∫dxx2+8x+132

Q: Find or evaluate the integral by completing the square.

A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)

Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: Given: ∫6x+59x2+15x3dx Evaluate the given integral using the substitution method. A function that…

Q: Evaluate the integral. A + 3v5 v3 ap

A:

Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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.