(b) xSīnxdx

Q: (x²-5) -dx J x3+15+12 c3.

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Q: DIV. Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If…

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Q: 3 sinx dx

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Q: Complete the trig substitution to achieve an integral involving trig functions of 0. Stop here; do…

A: We have to complete the trigonometric substitution. For this we can put x=2sec(thita)

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Determine whether each integral is convergent or divergent. too 4 dr (1i) d.x VI (9+ x)

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: In order to know a integral is convergent or divergent, we should evaluate the integral if it gives…

Q: What have you learned in evaluating integrals?

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Q: Why is Y2=A2 when figuring out the bounds of the integrals?

A: The equation of the cylinders is given by:                     X2+Y2=A2…

Q: Use an appropriate u-substitution to evaluate the indefinite integral -dt. Use C'for the constant of…

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Q: 1 dx 003-4x

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Q: O Use the MVT for integrals to show that there is point c in the interval (0,4) such that sec² (c) =…

A: MVT Theorem: Let f(x) is continuous on [a,b] and f is differentiable on (a,b). Moreover f(a)= f(b)…

Q: dr Find the percentage error by calculating the integral with the Trapezoidal Formula using n = 4…

A: Given that, the integral is ∫28xx2+1dx. It is known that, the formula for the trapezoidal…

Q: Use the Midpoint Rule to evaluate the integral Sx-dx.

A: Midpoint rule:Let f(x) is a polynomial of degree ⩽n-1Let the midpoint x1=a+b2 and…

Q: Evaluate the integral 3 I| 81x*/y² + 16dydx 3x by reversing the order of integration.

A: To find:- By reversing the order evaluate the given double integration

Q: Use the mid-ordinate rule with four intervals to evaluate the integral Type your final answer below…

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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.