7. Antiderivatives & Indefinite Integrals

Find the antiderivative of the following function.

$f\(\left\)(x\(\right\))=200$

Find the antiderivative of the following function.

$f\(\left\)(x\(\right\))=5x^4$

Find the antiderivative of the following function.

$f\(\left\)(x\(\right\))=10x^9$

For the following function $f\(\left\)(x\(\right\))$, find the antiderivative $F\(\left\)(x\(\right\))$ that satisfies the given condition.

$f\(\left\)(x\(\right\))=5x^4$; $F\(\left\)(0\(\right\))=1$

Find all functions whose derivative is f'(x) = x + 1.

Describe the set of antiderivatives of ƒ(x) = 1

Give the antiderivatives of xᵖ . For what values of p does your answer apply?

Give the antiderivatives of 1/x.