All Tasks - Asymptote

Enter the logical value of the expression $$\displaystyle \int x^5~e^{x^3+1}~dx=\dfrac{(x^3-1)e^{x^3+1}}{3}+C$$

The primitive function of $\int \frac{1}{\cos(x)\cot(x)}dx$ is:

The expression of the function $h(x)$ that satisfies $\int\dfrac{e^{h(x)}}{2h(x)\sqrt{1-e^{2h(x)}}}dx=\arcsin(e^{\sqrt{x}})+C$ is:

Calculate $\displaystyle \int x~e^{-x}~dx$

The primitive function of $\int x^2\tan(x^3)dx$ is:

Determine the value of $f(1)$, knowing that $f(0)=1$ and that $f^{\prime}(x)=\dfrac{4x}{(2-x^2)^3} $. (Enter the value with to 2 decimal places)