Help with Antiderivative (couple of questions) I am not very good at this and still trying to under

Hector Petersen

Hector Petersen

Answered question

2022-06-20

Help with Antiderivative (couple of questions)
I am not very good at this and still trying to understand how it works, but I really need to find a antiderivative of x 6 . Would be very glad if someone could help me with that.

Answer & Explanation

aletantas1x

aletantas1x

Beginner2022-06-21Added 22 answers

Step 1
x 6 d x = x 7 7 + C
because d d x [ x 7 7 + C ] = 7 x 6 7 + 0 = x 6
Step 2
More generally, for all n 1, x n d x = x n + 1 n + 1 + C because d d x [ x n + 1 n + 1 + C ] = ( n + 1 ) x n n + 1 + 0 = x n
rigliztetbf

rigliztetbf

Beginner2022-06-22Added 7 answers

Explanation:
The antiderivative of simply using reverse power rule x 7 7 + C
The rule is x n d x = x n + 1 n + 1 + C.

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