find the integral as it goes from 0 to the square root of 3 thanks
It helps if you recognise
d/dx[ln(x^2 + 9)] = [1/(x^2 + 9)]*2x
I = ∫ (4x/sqrt (x^2+9)) dx from 0 to sqrt3
I = 2 |ln(x^2 + 9)| from 0 to sqrt3
I = 2 ln (4/3) ~ 0.57536
Regards - Ian
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Verified answer
It helps if you recognise
d/dx[ln(x^2 + 9)] = [1/(x^2 + 9)]*2x
I = ∫ (4x/sqrt (x^2+9)) dx from 0 to sqrt3
I = 2 |ln(x^2 + 9)| from 0 to sqrt3
I = 2 |ln(x^2 + 9)| from 0 to sqrt3
I = 2 ln (4/3) ~ 0.57536
Regards - Ian