Evaluate the integral by reversing the order of integration. Evaluate 5ex2 from 0<=x<=4,3y<=y<=6

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the eract answer. dx…

A: We need to reverse the order of integration and then calculate the integral.

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 1…

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Q: evaluate the incdesinite integral -5x+3)dx

A: See the details solution below

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A: Here given integral as Use the formula of integration by parts which states

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A: Consider the provided question,

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A: Consider the given indefinite integral: Here the objective is to evaluate the given indefinite…

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A:

Q: Evaluate the integrals using integration by parts. ∫xe3x dx

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Q: Evaluate the integral by first reversing the order of integration NOTE: Enter the exact answer. d.x…

A: Here we have to evaluate the integral by first reversing the order of the integration.…

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. •5…

A: Explanation of the answer is as follows

Q: Use integration by parts to evaluate the integral. 5x dx Хе

A: The given integral ∫ xe5x dx.

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. •4…

A: We have to first reverse the order  of integration.

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Q: Use integration by parts to find the integral.  ∫ 3xln( x )dx

A: Let,  I=∫3xlnxdx If u and v are functions of x, then by using integration by parts ∫uv dx can…

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A: The answer is given as follows:

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A: We need to find ∫104x3-4x2+5xdx. So,…

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 5…

A:

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A: The integral is given by

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. dy…

A:

Q: Evaluate the integral by using a substitution prior to integration by parts. Sin 5x)2 dx

A: We have to find the value indefinite integral

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A: the given integral is: ∫x3lnx dx we have to evaluate the integral using integration by parts. lnx is…

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Q: Evaluate the integrals using integration by parts. ∫p4e-p dp

A: ∫p4e-p dp

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A: Here given as I=∫x1-xdx let  1-x = t Thus -dx=dt

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. dy…

A: Given:∫01∫2x2e-y2dy dx Here, we will reverse the order of integration using graph.

Q: Use integration by substitution and/or by parts to compute the integral Jx In (5 +x)dx .

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Q: ---) dz

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Q: Find the indefinite integral by using substitution followed by integration by parts. ∫x5ex2 dx

A: Given: ∫x5ex2dx

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A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t.…

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A: I am attaching image so that you understand each and every step.

Q: ii) fx³V2x + 1dx

A: To evaluate the given indefinite integral.

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.