Find the integrals below. а) / 5x dx b) S x2-3x + 2 dx X+1 dx c) S

Q: Evaluate the integral. +C 2x + 9 x² + 6x +34 17 -da

A:

Q: Evaluate the integral dx 2e 2x 3e2x

A: We have to find the value of integral: ∫ex2e-2x-3e2xdx Rewriting the given integral,…

Q: Evaluate the integral. dx Vx2 - 10x + 16

A: Given ∫dxx2-10x+16 ∫dxx2-10x+16=∫dxx2-10x+25-25+16=∫dxx2-10x+25-9=∫dx(x-5)2-9=∫dx(x-5)2-32

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

A:

Q: Evaluate the integral. (3 + 4x) V 5 + 6x + 4x2 dx

A: we have to solve integration

Q: Evaluate the integral f(16x3 + 4x³)dx

A: To evaluate the integral: ∫16x3+4x3dx Use the formula: ∫xndx=xn+1n+1+C, where n≠1

Q: Find the integral. Show work. fx¹nx dx 25 (51nx-1) + C 1 25 (lnx-1)+C Ox++0 x(51nx-1)+C

A:

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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.