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.

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

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

$f\left(x\right)=100x^{99}$; $F\left(1\right)=101$

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