Integration Help: Struggling with Distance Qn

[jwright13]

I’ve always struggled with integration and I don’t know how to do this question, I’m not sure what I’m being asked to calculate. I tried to calculate this as a definite integral but there is no boundary conditions for the distance the object has traveled which is confusing any help would be appreciated thanks! ( it is the bottom question on the pic)

 

[DaalChawal]

I think you are asking for the first one so integrate the above whole expression and you will get $s= 10t^2 + 2/3 t^3 + c$ now calculate c by putting given values of s and t.

 

[jwright13]

I think you are asking for the first one so integrate the above whole expression and you will get $s= 10t^2 + 2/3 t^3 + c$ now calculate c by putting given values of s and t.

Thank you! this helped a lot, do u have any idea with the second question? I struggle with understanding integration any help is great thanks!

 

[DaalChawal]

In the second question, you have to do exactly the same as the first one. Calculate Work it will come out to be $W= 2e^{2x} +c$ now put the values given you will get $W= 2e^{2x} + 6$

 

[jwright13]

In the second question, you have to do exactly the same as the first one. Calculate Work it will come out to be $W= 2e^{2x} +c$ now put the values given you will get $W= 2e^{2x} + 6$

Thank you so much! this really helped