Use Romberg integration to compute R3,3 for the integral 0.55 x In(x + 1) dx . Also, compare the results with exact value of the integral.

Q: Using the substitution u = 1+x^2, convert the integral into one involving only the variable u. You…

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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: Evaluate ∫x3 √(1 - x2) dx using integration by parts.

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

Q: Use numerical integration to estimate the value of 1 dr. 1 + x TT = 4

A: Given: prove that π=4∫0111+x2dx  for proving this we will solve right hand side  we know that…

Q: Use Table shown to rewrite as the difference of two integrals.

A: Given integral, ∫162x3-4xdx          ...(1)

Q: Evaluate the integral of dx/sqrt(x2+4) without using the right triangle method.

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Q: Evaluate the integral •(3+7 by interpreting it in terms of known areas. I = (3+7x) dx 1. I = 2. I =…

A: We have to evaluate the integral…

Q: Evaluate the integral from -pi to pi of xsinx dx (integration by parts).  Thanks

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Q: 8. Evaluate the integral 4 + 6x dx Vx

A: In this question we have to solve the integration given. we can write , x=(x)12