Welcome :: Homework Help and Answers :: Mathskey.com

Q&A
Unanswered
Categories
Users
Ask a Question

Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

Q&A Categories
BASIC MATH (93)
PRE-ALGEBRA (441)
ALGEBRA 1 (2,220)
GEOMETRY (864)
ALGEBRA 2 (2,751)
TRIGONOMETRY (1,187)
PRECALCULUS (1,903)
CALCULUS (2,802)
STATISTICS (129)
PHYSICS (659)
CHEMISTRY (137)
MECHANICAL ENGINEERING (64)
ELECTRICAL ENGINEERING (207)
Winplot Tutorials (2)

Most popular tags

solving-equations system-of-equations functions math slope-intercept-form physics homework-help trigonometric-identities integration limits substitution-method calculus

13,459 questions

17,854 answers

1,446 comments

807,747 users

Integral help!!!!! Calculus!!!?

0 votes

∫ 1 / (2 + sqrt(2x)) dx

definite-integral

asked Apr 24, 2013 in CALCULUS by linda Scholar

Share this question

Google+ Facebook Twitter LinkedIn Reddit

Please log in or register to add a comment.

Please log in or register to answer this question.

2 Answers

0 votes

$integral fraction numerator 1 over denominator 2 plus square root of 2 x end root end fraction d x equal integral fraction numerator square root of 2 square root of x over denominator 2 plus t end fraction d t$ (Let $square root of 2 x end root space equal t space t h e n square root of 2 fraction numerator 1 over denominator 2 square root of x end fraction d x equal d t space o r space d t equal fraction numerator 1 over denominator square root of 2 x end root end fraction d x$ )

$space space space space space space space space space space space space space space space space space space space space space space equal integral fraction numerator t over denominator 2 plus t end fraction d t$

$space space space space space space space space space space space space space space space space space space space space space space equal integral fraction numerator 2 plus t minus 2 over denominator 2 plus t end fraction d t$

$space space space space space space space space space space space space space space space space space space space space space space equal integral fraction numerator 2 plus t over denominator 2 plus t end fraction d t minus 2 integral fraction numerator 1 over denominator 2 plus t end fraction d t$

$space space space space space space space space space space space space space space space space space space space space space space equal integral d t minus 2 integral fraction numerator 1 over denominator 2 plus t end fraction d t$

space space space space space space space space space space space space space space space space space space space space space space equal t minus 2 italic log open parentheses open vertical bar 2 plus t close vertical bar close parentheses plus C

space space space space space space space space space space space space space space space space space space space space space space equal square root of 2 x end root minus 2 italic log open parentheses open vertical bar 2 plus square root of 2 x end root close vertical bar close parentheses plus C (Substitute t equal square root of 2 x end root )