Thread: Antiderivatives. Did I do it right?

Find the following.
∫ (56t^(5/2) + 18t^(7/2))dt.
I did
(2/7)56 t^(7/2) + (2/9)18t^(9/2) + c =
16t^(7/2) + 4t^(9/2) + c
Wolfram gives me a different answer.

Originally Posted by rowdy3

Find the following.
∫ (56t^(5/2) + 18t^(7/2))dt.
I did
(2/7)56 t^(7/2) + (2/9)18t^(9/2) + c =
16t^(7/2) + 4t^(9/2) + c
Wolfram gives me a different answer.

WolframAlpha gave me [4t^(7/2)](t+4)+constant, which is equivalent to your answer.

Originally Posted by rowdy3

Find the following.
∫ (56t^(5/2) + 18t^(7/2))dt.
I did
(2/7)56 t^(7/2) + (2/9)18t^(9/2) + c =
16t^(7/2) + 4t^(9/2) + c
Wolfram gives me a different answer.

factor your antiderivative