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13 Nov 2019
Use the integration by parts formula in these problems; do not use the tabular format. 3xe2dx 6. xIn xd 3-x 2e*
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Deanna Hettinger
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16 Aug 2019
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Related questions
In exercises 1-2, evaluate the integral using the integration by parts method. Do not use a reduction formula 2.j8xsecrtan In exercises 3 and 4, Use a reduction formula to evaluate the following integrals 3. cos'x dr
1. Find the integrals using tabular method a) J cos 2z dzbd 2. Find the indefinite integrals using integration by parts a) Jedr sin(3r)dr 3. Find the following derivatives a) f(z) = tanh(3rs_ 1) b) g(z) = zsinh(z) _ cosh(z) c) h(z)-y?coth"'- d)y = sech(cos 2z) f) f(t) sech-1(2c) 4. Find the following integrals c/sech3ltanhzdz d)/å Hint: using completing square 5. a) Evaluate the integral fo9rd using Special Trig Substitution formula. 6. Find the following trigonometric integrals a) fcoss () sin (x) drb)f'sin5 cos 3z dr c) sees(t) tan'()dt 7. Use trigonometric substitution to set up the integrals ar- dr. Do Not Integrate. b) Use Trigonometric guidelines to find new integral from part (a). Do Not forget to change back to the original variable. 8. Find the following integrals using partial fractions.
1. Use the numerical method (finite difference approach) to find the first (dy/dx) and second derivative (d2y/dx2) of y = 10*exp(0.1x) when x = 3. Use delx value of 0.5. Organize your results in a tabular format and present all the results.
2. Solve the above problem analytically and check your numerical answer to first and second derivative at x =3 with the analytical results
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