sec 0 de 1 sec 0 tan 0+ In sec 0 + tan 0| to evaluate the integral. Then use the fact that sec° 0 de = Question (4): Evaluate the following integrals: dx dx dx dx; Vx2 – 9 J ' x² V25 – x2 V12x-x2 Question (5): Evaluate x arctan x dx. At some point in the process, you're going to find the term x² dx Do the algebra to show that =1- and explain why it it is useful to transform 1+ x2 x2 in this way. 1+ x2 1+ x2' 1+x2

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Q: (b) Consider a volume of a solid under the surface z = sin(x³) can be denoted as 4 2 | sin(x³) dx dy…

A: In this question ,we can reverse the order of the integration. Firstly draw the limits of 'x' and…

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A: Given query is to find integral of the expression.

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A: integrate

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A: This question is based on indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) S sin(3æ) sin(2x)da O +(3…

A: we have to use  2sin A sin B = cos(A-B)-cos(A+B) And solve the integration.

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A: Topic:- integration by parts

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A: NOTE: Refresh your page if you can't see any equations. .

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A: We will substitution to solve this

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Q: I+tgX dx; 2 COS X cos

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Q: Determine the following integrals either by the method of substitution or integration by parts. (a)…

A: As Per our company guidelines we are supposed only one answer, kindly repost other parts in next…

Q: 7 sin(4) do cos (4) CoS

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Q: 7. Find the indefinite integral. 1. dx V9-16x? 4x 1 tar arcsin 3 +C_b. arcsin(9x) +C a. 4 4x c.…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

A: Given : ∫( 0 , 0 ,0)( 1, 2, 3)  3 x2y dx + ( x3 - z3 ) dy - 3y z2 dz

Q: 5. Use integration to find the exact area outside r = 4 cos 0 and r = 4 sin 0 but inside r = 2.

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9 sec²…

A: This question can be solved using the concept of integration by substitution.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.