Hi,
First, the following are results that you need to
remember:
1. integral of (ax + b)^n (n is not -1) = {(ax + b)^(n +
1)} / {a(n + 1)} + c
This will be helpful for Q1 & Q2. In Q2, you will
need to expand the numerator before dividing it by sqrt(x).
2. integral of e^(ax + b) = {e^(ax + b)} / a + c
This will be applied in Q3. Again, expansion will be
necessary before you integrate.
3. integral of a^(kx) = {a^(kx)} / {k(ln a)} + c
This will be used in Q4.
4. integral of 1/(ax + b) = (1/a) ln |ax + b| + c
This will be relevant to definite integral Q1, together
with the use of result 1. Expansion is to be carried out first.
Definite integral Q2 needs results 4 and 3. You may use
GC to verify your answer.
Thanks.
Cheers,
Wen Shih