403 results for "integration".

Integration revision
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.
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Last modified 17/10/2019 14:29
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Last modified 17/10/2019 13:06
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Integration  Area Under a Graph 2
Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration. Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.
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Last modified 26/09/2019 09:26
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Integration by parts
Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$
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Last modified 25/09/2019 11:49
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Integration  Area under a curve 1
Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.
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Last modified 19/09/2019 12:10
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Integration  Revision
5 questions on definite integrals  integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.
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Last modified 19/09/2019 12:01
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Integration  By Partial Fractions
Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
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Last modified 19/09/2019 11:55
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Indefinite integration using standard integrals
Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.
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Last modified 11/09/2019 22:25
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Last modified 11/09/2019 22:21
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Differential Elements
Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration.
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Last modified 22/08/2019 14:17
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