Calculus II Exam 1 Review: Sections and Topics - Prof. Suzanne C. Melescue, Study notes of Calculus

Download Calculus II Exam 1 Review: Sections and Topics - Prof. Suzanne C. Melescue and more Study notes Calculus in PDF only on Docsity! Calculus II Review for Exam 1 The following is a list of the sections and topics that may appear on the first exam. To determine what you need to review in more detail, work through homework assignments without the aid of notes. Study, and then rework those problems that caused difficulties. Perhaps, writing and taking a “practice exam” will help overcome the anxiety associated with test taking. Section 5.3  Evaluate derivatives of integral functions using the Fundamental Theorem of Calculus, Part 1  Evaluate definite integrals using the Fundamental Theorem of Calculus, Part 2 Section 5.4  Know the basic integration formulas. [Remember the “+ C” in every answer.] Section 5.5  Evaluate indefinite and definite integrals using u-substitution [Notice the form of the answer for each type.] Tips: Pick u as the inside of the messiest part. Don't forget du! Never write the integral with x’s and u’s together. Remember to change limits, if needed. Section 6.1 Find the area between two curves using either horizontal rectangles or vertical rectangles  Vertical rectangles:    dxfunction)(bottomfunction)(topArea  Horizontal rectangles:    dyfunction)(leftfunction)(rightArea Section 6.2 Find the volume of a solid of revolution using the disk/washer method  Disk Method:   )(thicknessradiusVolume 2   Washer Method:    )(thicknessradius)(innerradius)(outerVolume 22  Remember that thickness of vertical rectangles is dx and the thickness of horizontal rectangles is dy.  Remember to choose values for the upper and lower limits that match the variable. Find the volume of a solid using known cross sections with area A  Perpendicular to the x-axis:  dxxA )(Volume  Perpendicular to the y-axis:  dyyA )(Volume Section 6.3 Find the volume of a solid of revolution using the shell method   )(thickness(height)(radius)2Volume   Remember that thickness of vertical rectangles is dx and the thickness of horizontal rectangles is dy.  Remember to choose values for the upper and lower limits that match the variable.