Evaluate the integral + 3) (x2 + 3x + 10)*dæ by making the substitution u = x + 3x + 10. + C NOTE: Your answer should be in terms of x and not u.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We can solve this as follows:

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A: The detailed solution is given below Thank you

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A: We can solve this as follows:

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A: A detailed solution is given below.

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A: To evaluate: I=∫01(1-x2)52dx

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A: To solve the differential equation by using method of undetermined coefficients.

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A: Given ; L= 4 henry , R=100 ohms and E=200 volts , t= 2 sec

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A: To find out the original number.

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A: B is the correct option.

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A: Solution is given below:

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Q: 1. Find the particular solution of the DE y" -11y' + 24y = 0 subject to the boundary conditions y…

A: The differential equation can be solved as follows:

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A: