In advanced mathematics (pitkä matematiikka), what is the value of the improper integral $\int_{1}^{\infty} \frac{1}{x ^{2}} d x$ ?

Practise more Advanced Calculus, Vectors, Geometry and Probability.

Free questions with an explanation for every one, and full timed Ylioppilastutkinto (Finnish Matriculation) mock tests.

All Advanced Calculus, Vectors, Geometry and Probability questions Take a mock test

More Advanced Calculus, Vectors, Geometry and Probability questions

In advanced mathematics (pitkä matematiikka), what is the limit $lim_{x \to 0} \frac{s i n ( 3 x )}{2 x}$ ?
In advanced mathematics (pitkä matematiikka), what is the derivative of $f (x) = e^{2 x} cos x$ ?
In advanced mathematics (pitkä matematiikka), what is the value of the definite integral $\int_{0}^{1} (3 x^{2} + 2 x - 1) d x$ ?
In advanced mathematics (pitkä matematiikka), what is the scalar product of the vectors $u = 2 i - 3 j + k$ and…
In advanced mathematics (pitkä matematiikka), what is the cross product $u \times v$ of $u = (1, 0, 0)$ and…
In advanced mathematics (pitkä matematiikka), what is the sum of the infinite geometric series…