x²dx Let a >0 be a real number. Evaluate the real improper integral x4 + a4

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A: Let,

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A:

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A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn)  to approximate the…

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A: to solve the integral we use method of substitution

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A:

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A: You can solve the given integral by using substitution as follows :

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A:

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A:

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A:

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Q: Evaluate the improper integral xe d

A:

Q: Evaluate the integral.

A: Given integral  to evaluate ∫25dr1+2r This can be integrated using substitution Substitute 1+2r=x…

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A: Given: ∫x2x+2dx

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A: Given data÷

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A:

Q: Using only the definition of RS-integral, evaluate 2 d[x}.

A:

Q: Evaluate the improper integral or state that it is divergent. 2 dx 1 64 + x2 0.

A: The given improper integral is ∫0∞264+x2dx. Evaluate as follows.

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Q: Using only the definition of RS-integral, evaluate .2 x* d[x).

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. t/7t² + 8 dt…

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Q: Evaluate the integral t/2 10x csc2 (x) dx

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ t dt/t4 - t2 - 2

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Q: J 24 tan3 xdx

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Q: Write a definite integral that represents the area of the region. y1 = x2 + 2x + 1 y2 = 2x + 5

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A:

Q: Evaluate the improper integral da, if it exists. (22 + 49)2

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A: See the details solution in below

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A: Given: ∫1832sec2xxdx To find evaluate the given integral.