403 results for "integration".

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  • Integration revision

    by Martin Jones and 3 others

    Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

    Exam (13 questions) Draft

    CC BY-NC-SA Published

    Last modified 17/10/2019 14:29

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  • Area under a curve by integration

    Find roots and the area under a parabola

    Question Ready to use

    CC BY-NC Published

    Last modified 17/10/2019 13:06

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  • Integration - Area Under a Graph 2

    by Picture of Kevin Bohan Kevin Bohan and 2 others

    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.

    Question Draft

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    Last modified 26/09/2019 09:26

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  • Integration by parts

    by Andrew McKinley and 3 others

    Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$

    Question Draft

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    Last modified 25/09/2019 11:49

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  • Integration - Area under a curve 1

    by Picture of Kevin Bohan Kevin Bohan and 2 others

    Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

    Question Draft

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    Last modified 19/09/2019 12:10

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  • Integration - Revision

    by Picture of Kevin Bohan Kevin Bohan and 3 others

    5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

    Exam (5 questions) Draft

    CC BY Published

    Last modified 19/09/2019 12:01

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  • Integration - By Partial Fractions

    by Picture of Kevin Bohan Kevin Bohan and 2 others

    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.

    Question Draft

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    Last modified 19/09/2019 11:55

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  • Indefinite integration using standard integrals

    by Thomas Waters and 2 others

    Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

    Question Draft

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    Last modified 11/09/2019 22:25

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  • Basic Integration

    by Thomas Waters and 1 other

    Integration techniques for monomials and simple polynomials.

    Question Draft

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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. 

    Question Ready to use

    CC BY-NC Published

    Last modified 22/08/2019 14:17

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