Forum - Maths Analisys

Integration, maths analisys

Anna
Visitor
2015-10-24 11:30:23
#1
a)?ln(2x+5)dx


b)?(1-2x)cosx/3dx

 

RE: Integration, maths analisys

Anna
Visitor
2015-10-24 11:45:33
#2
∫ln(2x+5)dx

∫(1-2x)cosx/3dx;

This is what I wanted to write.

RE: Integration, maths analisys

Steve
Visitor
2015-10-24 12:00:20
#3
Could be solved by integration by parts

f(x)=ln(2x+5)
f’(x)=2/(2x+5)

g(x)=x
g’(x)=1

F(x) = f(x) • g(x) - ∫g(x) • f’(x)dx
F(x) = x • ln(2x+5) - ∫x/(2x+5)dx

At the numerator we add and we cut 5 and we write

F(x) = x • ln(2x+5)-∫dx +5∫1/(2x+5)dx=

= x • ln(2x+5)-x+5ln(2x+5)+c

 
 

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