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Grade 12Magical Mathematics[Interesting Approach]

It is integration problem.... Solve problem.........src=data:<;base64,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

Profile image of KUNCHAM SAMPATH
10 Years agoGrade 12
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4 Answers

Profile image of L GOUSE BASHA
ApprovedApproved Tutor Answer10 Years ago
P { margin-bottom: 0.08in; }H2 { margin-bottom: 0.08in; }H2.western { font-family: "Liberation Sans",sans-serif; font-size: 14pt; font-style: italic; }H2.cjk { font-family: "WenQuanYi Zen Hei"; font-size: 14pt; font-style: italic; }H2.ctl { font-family: "Lohit Devanagari"; font-size: 14pt; font-style: italic; }

X2/4-X/4+7/8ln|2X+3|+C

Profile image of RAKESH CHINDAM
10 Years ago
P { margin-bottom: 0.08in; }H2 { margin-bottom: 0.08in; }H2.western { font-family: "Liberation Sans",sans-serif; font-size: 14pt; font-style: italic; }H2.cjk { font-family: "WenQuanYi Zen Hei"; font-size: 14pt; font-style: italic;

X2/4-X/4+7/8ln|2X+3|+C

Profile image of SHANMUKESHWAR
10 Years ago
x^2+x+1/2x+3=(x/2-1/4)+7/4*(2x+3)=x^2/4-x/4+7/4*ln(2x+3)/2+c where c is a arbitary constant
 
x^2/4-x/4+7/8*ln(2x+3)/2+c.
Profile image of T.kumar
10 Years ago
my answer is:
 
                       x^2/4-x/4+7/8*ln(2x+3)/2+c.
all the best for your bright future..............this is my answeer..