Space Provided - Calculus - Quiz, Exercises of Calculus

This is class quiz. Its from Calculus class. Some key points are: Space Provided, Credit, Antiderivatives, Method, Using, Find, Numerators

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
ranga 🇮🇳

3.3

(7)

239 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Name:
Math 106A: Fall 2011
Quiz 4: October 17
Please write your final answer in the space provided. For full credit you must show your work. Good Luck!
sin2x=1
2cos(2x)
2
cos2x=1
2+cos(2x)
2
sin(2x) = 2 sin xcos x
Zsec x dx = ln |sec x+ tan x|+C
Zsecnx dx =secn2xtan x
n1+n2
n1Zsecn2x dx
1. Find the following antiderivatives using any method.
(a) Zdx
25 + x2(1a)
pf2

Partial preview of the text

Download Space Provided - Calculus - Quiz and more Exercises Calculus in PDF only on Docsity!

Name:

Math 106A: Fall 2011

Quiz 4: October 17

Please write your final answer in the space provided. For full credit you must show your work. Good Luck!

sin^2 x =^1 2

− cos(2x) 2

cos^2 x =^1 2

  • cos(2x) 2

sin(2x) = 2 sin x cos x ∫ sec x dx = ln | sec x + tan x| + C

∫ secn^ x dx = sec

n− (^2) x tan x n − 1 +^

n − 2 n − 1

secn−^2 x dx

  1. Find the following antiderivatives using any method.

(a)

√ dx 25 + x^2

(1a)

(b)

cos^3 x sin^4 x dx (1b)

(c)

∫ (^2) y − 1 y^2 + 1 dy^ (1c)

  1. Find the numerators that make the following equation true. (Do NOT antidifferentiate.) x + 1 (x − 2)(x^2 + 2x + 5) =^ x − 2 +^ x^2 + 2x + 5 (2)