Lecture12bc - Welcome to Math 122 Lecture 12 Survey of Calculus and its Applications I1 Instructor Quanlei Fang Dept of Math University at Buffalo

# Lecture12bc - Welcome to Math 122 Lecture 12 Survey of...

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Instructor: Quanlei Fang Dept. of Math, University at Buffalo, Spring 2009 Welcome to Math 122 Lecture 12 Survey of Calculus and its Applications I1 § 9.3 (Contd) Evaluation of Definite Integrals ! The Definite Integral ! Evaluating Definite Integrals ! Change of Limits Rule
function. Therefore, the left-most region (above the x-axis) starts at x= -3 and ends at x= 0. The right-most region (below the x-axis) starts at x= 0 and ends at 3. So, to find the area in the shaded regions, we will use the following. Replace ywith 0 to find the x-intercepts. Set each factor equal to 0. Solve for x. Now let’s find an antiderivative for both integrals. x =
Evaluate. lnx1e"dxEvaluate. xe"xln 2#dx
Evaluate the definite integral x(x+1)2+2lnxx12"dx