Integrals with Trigonometric Functions
2026ReferenceSergey
Reference table of indefinite integrals of sine, cosine, tangent and their powers and products.
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Search results for “tangent”
34 results
Integrals of Hyperbolic Functions
2026ReferenceSergey
Reference table of indefinite integrals of the hyperbolic sine, cosine, tangent and cotangent.
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IMO 1985
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1990
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 2000
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1984
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1988
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1964
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1983
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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An example of a non-reduced Picard scheme
Theory
An example, due to Serre, of a smooth projective surface in positive characteristic whose Picard scheme fails to be reduced, worked out via the two governing dimension inequalities.
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IMO 1960
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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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 1969
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1978
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1992
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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