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Q: Integration by Trigonometric Substitution. Show complete, correct and organized solutions.

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Q: dr Evaluate - x(x²-4) ² Select one: Ⓒa.- +aresec)+c √√√²4 b. (+aresec)+c (+arcsec)+c O.C. - O d.…

A: This is a problem related to integral calculation. Based on the general formula and concepts we will…

Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: Find the value of x and y. 38 x° X = degrees y=D degrees

A: Let the angle opposite to x° be a°. Sum of all the angles in a triangle is 180°.…

Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: Vydy va-y Let y = asin²0 а-у

A: Given data are: ∫ydya-y, Let y=asin2θ Solve the above integration by substitution and find the…

Q: √ (cot² x - 7) dx

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Q: For each of the following sets of vectors, determine whether it is linearly independent or linearly…

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Q: 5. Find the volume of water in a swimming pool with vertical ends and sides. The length measured at…

A: As per our guidelines we are supposed to solve only one question i.e. the question no 5). For the…

Q: 2 xdx √9-4x²

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Q: cot2 dx

A: Our Aim is to integrate ∫cot2 (x) dx-(i)

Q: Degrees Minutes N 76°30'E S 4a 28'E S36°47'W

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Q: cos x 3. f sin³x dx (2 + sin?x) + C 3 4. S* x sin 2x dx 1-9x2 5. S sin-1 3x dx + x sin-1 3x + C 3

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Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: 3260° j2 (1 + j) 2430° 2 1 Evaluate j5

A: Let us find the determinant

Q: Evaluate the integral da Select one: a. +C O b. о с. O d. - Inz - -/+C 2x inz -/+C - 2in1+²+C N 4

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Q: Va?-x²dx 1. S x2

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Q: If sec2A = Select one: a. 3 deg O b. 5 deg O c. 7 deg d. 6 deg 1 sin13A' determine the angle A in…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: Please find the attachment