[ 8®in}x sin 3 xdx (Ans: 3/8 sin²x In 8 + C) Hint: Use 2 sin cos 0 = sin 20

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A: Please see the below picture for detailed solution.

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A: answer is in next step. please give a like !!

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A: To find f''12, when fx=2x+3.To round the answer to three decimal places.

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A: Given the query is to find the present value of the investment.

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A: Use substitution method for solving the integral.

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A: Given, L-11.4ss-0.1s+0.6

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A: Remember the trigonometric identity Tan2(x)=Sec2(x) -1

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A: We will find the solution

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A: We can find the value of integral  of a function f(x) by using the area under the curve f(x).

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A: Note that, L{f(t)}=F(s)=∫0∞e-stf(t) dt...(1)

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