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Please solve using PYTHON or JUIPITER NOTEBOOK, not by hand. thank you:) 2. Given g(2) = V4-22 (a) Model u-substitution by substituting r = 14

Please solve using PYTHON or JUIPITER NOTEBOOK, not by hand. thank you:)

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2. Given g(2) = V4-22 (a) Model u-substitution by substituting r = 14 - W (NOTE this g(x2) is equivalent to w = 4 - x?) into (NOTE the denominator -2.1 is w'), then integrate the resulting expression with respect to w, then re-substitute w = 4 - r. (b) Model Integration by Parts by letting u= r and du = V4-22 Find du and v and then print the result from the IBP formula (uv Sudu). (c) Model trig substitution by substituting r = 2 sin(@) into the ex- pression, multiply by do, integrate the resulting expression with respect to 6, then resubstitute 0 = arcsin (5) *-NOTE: Python does not assume the square root to be positive, so print the resulting expression first and simplify by hand before integrating (d) Your answers should not look the same. Simplify each of them to show that they are algebraically equivalent. 2. Given g(2) = V4-22 (a) Model u-substitution by substituting r = 14 - W (NOTE this g(x2) is equivalent to w = 4 - x?) into (NOTE the denominator -2.1 is w'), then integrate the resulting expression with respect to w, then re-substitute w = 4 - r. (b) Model Integration by Parts by letting u= r and du = V4-22 Find du and v and then print the result from the IBP formula (uv Sudu). (c) Model trig substitution by substituting r = 2 sin(@) into the ex- pression, multiply by do, integrate the resulting expression with respect to 6, then resubstitute 0 = arcsin (5) *-NOTE: Python does not assume the square root to be positive, so print the resulting expression first and simplify by hand before integrating (d) Your answers should not look the same. Simplify each of them to show that they are algebraically equivalent

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