Help with Integration

how to get the integral?

this one also.

Use wolfram integration calculator lah

Just key in the two questions and presto you will get your answer lah

this one also.

I have the answer, I just need the steps to solve, must use simple substitution for both.

I have the answer, I just need the steps to solve, must use simple substitution for both.

Your homework huh ?

I will not write out the whole solution ie you must try to solve it yourself.

I will guide you by giving the substitution.

For question 1, the substitution is let u = sqrt x

For question 2, the substitution is let u = sqrt (4e^x+1)

Your homework huh ?

I will not write out the whole solution ie you must try to solve it yourself.

I will guide you by giving the substitution.

For question 1, the substitution is let u = sqrt x

For question 2, the substitution is let u = sqrt (4e^x+1)

Not homework, self study.

ok i'll find du and do it.

2nd one integration by parts , hopefully can get

2nd one integration by parts , hopefully can get

TS says that question 2 is to be solved by integration by substitution.

This question is a bit tricky.

Do not be surprised that after du/dx, replace dx by [(Sqrt(4e^x+1)du]/(2e^x) , simplify to get e^x/2 du.

Do another substitution ie e^x/2= (1/8)/(u^2 - 1)

Integrate with respect to u

Substitute back to get the final answer ie (1/12)[sqrt(4e^x+1)](2e^x-1)