Ignatius Yeo's answer to QN's Junior College 2 H1 Maths Singapore question.

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Ignatius Yeo
Ignatius Yeo's answer
36 answers (Tutor Details)
1st
Expand 4(2x+1) and integrate each term separately. Hope it helps!
QN
QN
4 years ago
Is it possible to take out the 4 and integrate (2x+1)
Ignatius Yeo
Ignatius Yeo
4 years ago
You must leave 4 alone because it's part of the expression. Just like differentiation d/dx(af(x))= ad/dxf(x), integral af(x)dx = a integral f(x)dx. In other words, you may factorise the constant and integrate the variable.
J
J
4 years ago
If by taking out 4 you mean :


4 ∫(2x + 1) dx

= 4 (x² + x) + c

= 4x² + 4x + c , c is a constant

Yes it can be done.
QN
QN
4 years ago
Thank you!!