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secondary 4 | A Maths
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need help with evaluating both of these, pls explain too
Date Posted: 3 years ago
Views: 227
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done
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clear
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A few things to note here.
1. For the first question, we have no choice but to expand and simplify the expression first before attempting the integration; the integral cannot just be integrated yet at the moment as product and quotient rules do not apply in integration.
2. Because the integrals in both questions involve two numbers (the upper limit and the lower limit), there is no need to write “+c” at the end, because it will disappear anyway.
3. The integral of 1/x, unlike other powers of x, is ln x. This is an exception to the rule “increase power by 1, divide by new power”.
4. The integral of 1/sqrt x is NOT ln (sqrt x); this one integrates normally.
1. For the first question, we have no choice but to expand and simplify the expression first before attempting the integration; the integral cannot just be integrated yet at the moment as product and quotient rules do not apply in integration.
2. Because the integrals in both questions involve two numbers (the upper limit and the lower limit), there is no need to write “+c” at the end, because it will disappear anyway.
3. The integral of 1/x, unlike other powers of x, is ln x. This is an exception to the rule “increase power by 1, divide by new power”.
4. The integral of 1/sqrt x is NOT ln (sqrt x); this one integrates normally.
Date Posted:
3 years ago
for the first qn why cant it integrate to [(2x+3)^2/3 lnx] tho
Because the numerator is also a function of x itself
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