Indefinite
24.
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- Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then by a u-substitution in the corresponding indefinite integral. (4 – 3x)°dx = iarrow_forwardThe displacement d (in meters) of an object at time t (in seconds) is given by the following equation. d= 8 cos 4 ..... (a) Describe the motion of the object. Is the motion simple harmonic? Yes No (b) What is the maximum displacement from its resting position? meters (c) What is the time required for one oscillation? |seconds (Simplify your answer. Type an exact answer, using T as needed. Use integers or fractions for any numbers in the expression.) ts (d) What is the frequency? oscillation per second (Simplify your answer. Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) gni gnmarrow_forwardEvaluate the definite integral two ways: first by a u-substitution in the definite integral and then by a u-substitution in the corresponding indefinite integral. Enter the exact answer. /2+x dx =arrow_forward
- Answer no. 3 only, kindly use integration by Trigonometric Substitutionarrow_forwardFind the slope of the tangent line to the sine function at the origin. y 2 y= sin(7 x) 1 Compare these values with the number of complete cycles in the interval [0, 2n]. O The slope is half the the number of cycles in the interval. O The slope is twice the number of cycles in the interval. O There is no relationship between slope and number of cycles. O The slope squared gives the number of cycles in the interval. O The slope is equal to the number of cycles in the interval.arrow_forwardIndicate the trigonometric substitution that could be used to find the integral. Express x as a function of a new variable. Do not perform the substitutions and do not evaluate the integrals. (Change dt to dx)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,