evaluate
∫ (sqrt(x)( ax^2 + bx + c)) dx
evaluate
∫ (sqrt(x)( ax^2 + bx + c)) dx
∫ (sqrt(x)( ax^2 + bx + c)) dx
taniska , 11 Years ago
Grade 12
Integral Calculus> evaluate ∫ (sqrt(x)( ax^2 + bx + c)) dx...
2 AnswersSunil Raikwar
∫ (sqrt(x)( ax^2 + bx + c)dx
=∫ (x^1/2(ax^2 +bx +c)dx
=∫ (ax^5/2 +bx^3/2 +cx^1/2)dx
=2ax^7/2 /7 +2bx^5/2 /5 +2cx^3/2 /3 +K {we know that∫x^ndx =(x^(n+1) /(n+1)}
Here K is a constant
Karthick vel
make ax2+bx+c in to form of a((x-b/2)2+(c-b2/4)). then put (x-b/2)=(c-b2/4)^.5*tany.
then integrate it. simple
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