Integrals with Radicals
2026ReferenceSergey
Reference table of indefinite integrals of expressions containing square roots and other radicals.
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Search results for “square roots”
43 results
IMO 1959
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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Determinant
2026TheorySergey
The determinant of a square matrix — its meaning, minors and cofactors, Laplace expansion, and computation methods.
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Inverse Matrices
Theory
Nonsingular matrices, the invertibility criterion, the adjugate-matrix formula, and the Gauss–Jordan method.
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IMO 1977
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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Matrix Rank
Theory
Minors and the rank of a matrix, invariance of rank under elementary transformations, and a practical method for computing it.
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Cramer's Rule and Gaussian Elimination
Theory
Two methods for solving a SLAE — Cramer's rule via determinants and the universal Gaussian elimination method, with examples.
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Properties of Determinants
Theory
The basic properties of determinants with brief proofs, and their use in simplifying computations.
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IMO 1962
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1986
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1993
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1996
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1999
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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Basic Operations on Matrices
Theory
Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.
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