Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Integral of
Evaluate each integral in Exercises 47-50 by reducing the improper fraction and using a substitution (if necessary)
to reduce it to standard
form.
47.
48.
-dx
49. de
2x3
dx
50.472-737 de
2x +
+1
Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain. (a) ∫2dx / √(x2 + 4) (b) ∫dx/x√(x2 − 9)
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- 2х -3 -dx. Evaluate(x-2)(x² + 1)arrow_forwardSlope of curve at [3, -1, Du f(3, -1)= 1 10 √√2 x² xy² Z=3- + 10 10 12 (3,-1,-) 5 (3,-1) 12 5 ≈ 0.07. = (1/12 - 11/12 - 15 in the direction of u = surface ✔ plane Q ✔ curve C ✓ 00 grids O ticks large viewpoint octant 1arrow_forwardUsing substitution: Describe why ∫ x(5 - x2)3 dx ≠ ∫ u3 du where u = 5 - x2.arrow_forward
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