All Tasks

Adjacent angles

α = 143° β =___ °
 
# Angles

Training
6

AT Immediate integral 7

The primitive function, $\int \frac{1-x}{x^2+x-2}dx$, is:
 
# Integration calculus

Training
13

Integral-P_a

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

Reasoning
13

AT Immediate integral 9

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

Training
13

AT-primitive without solving

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:
 
# Integration calculus

Training
13

Integral-P_i

Calculate $\displaystyle \int x~e^{-x}~dx$
 
# Integrals of functions

Training
13