Find the anti-derivative of x^4...
Isn't it 4x^3+c?
Please help...
Thanks!
The exponent is correct, but the coefficient is not 1. If you take the derivative of your answer do you get x^4?
Sorry, my error...
I went the wrong way!
Your exponent and coefficient are wrong.
I just got back on to let you know that I got it. Thanks.
The answer is x^5/5 +c.
Thanks again!
You got it!
Glad to help.
To find the antiderivative of a function, we can use the power rule for integration. The power rule states that the antiderivative of x^n (where n is any real number except -1) is (x^n+1)/(n+1) + C, where C is the constant of integration.
In this case, we want to find the antiderivative of x^4. Applying the power rule, we add 1 to the exponent (4+1) and divide by the new exponent (4+1=5) to get:
(x^4+1)/(4+1) + C
= (x^5)/5 + C
So, the antiderivative of x^4 is (x^5)/5 + C, where C is the constant of integration.
It seems that you made a small mistake. The correct antiderivative of x^4 is (x^5)/5 + C, not 4x^3 + C.