MATH 41 Midterm: MATH 41 Stanford 08Exam2

• School: Stanford University
• Department: MATH - Mathematics
• Course: MATH 41
• Professor: All

Document Summary

Z uv dx = uv z u v dx. Inverse trig (such as arctan x, arcsin x) Algebraic (such as x, x2, x3 + 4) Exponentials (such as ex, e3x: rational functions (one polynomial divided by another): if the degree of the numerator is greater than or equal to the degree of the denominator, do long division then integrate the result. Partial fractions: here"s an illustrative example of the setup. Each linear term in the denominator on the left gets a constant above it on the right; the squared linear factor (x 3) on the left appears twice on the right, once to the second power. Each irreducible quadratic term on the left gets a linear term (dx + e here) above it on the right: trigonometric substitutions: some suggested substitutions and useful formulae follow. Radical form pa2 x2 pa2 + x2 px2 a2.