Let - .12 Let /= -dx. Select all that apply , x³-343 Your answer: O The integral is improper of Type I. 49 - 49 343 12 343x 12 3 .12 3 3 dx D x3 – 343 x² + 7x + 49 X-7 O The integral is convergent. 49 49 + 14 112 arctan 3/3 t-7 112 arctan 3/3 38 |= lim In 1+7+ 3 277 |t²+7t + 49 7/3 7/3 49 95 + In 277 49 arctan V3 31 | = 7/3 49 (2t +7 7/3 t-7 49 -arctan V3 3 - lim In 1+7+ (Vt?+7t + 49 O The integral is improper of Type II. O The improper integral is divergent.

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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.