525 results for "integration".
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Question in Engineering Statics
Student calculates ˉy for a triangle. Must use similar triangles get element dA.
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Question in Engineering Statics
Find the area, first moment of area, and coordinates of a general spandrel. The area may be above or below the function.
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Question in Skills Audits for Maths and Stats
Calculating the definite integral ∫n2n1a1xb1+a2xb2+a3xb3dx.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form c(x+a)(x+b) using partial fractions.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form ax2cos(bx) using integration by parts.
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Question in Skills Audits for Maths and Stats
Using the various versions of cos2x identity to integrate sin2x and cos2x.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form nxn−1xn+a using integration by substitution.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form a1xb1+a2xb2+a3xb3 using a table of integrals.
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Exam (4 questions) in Engineering Statics
Homework set. Use integration to find the centroid of shapes bounded by functions.
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Exam (3 questions) in Engineering Statics
Homework set. Use integration to find the centroid of shapes bounded by functions.
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Question in Brendan's workspace
Integration by parts.
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Exam (1 question) in Demos
This easy exam is intended to be used by administrators to check the integration of Numbas with a leaarning environment.
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Question in Deactivated user's workspace
No description given
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Question in Deactivated user's workspace
Find ∫ax+b(x+c)(x+d)dx,a≠0,c≠d.
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Question in Core Foundation Maths
Integrate f(x)=aebx+csin(dx)+pxq. Must input C as the constant of integration.
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Question in Deactivated user's workspace
No description given
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Question in Demos
This easy question is intended to be used by administrators to test the integration of Numbas with a learning environment.
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Exam (20 questions) in Evi's workspace
A portfolio of NUMBAS questions created for first year Natural Sciences students. The questions cover the topics:
- Linear functions
- Quadratic functions
- Differentiation
- Integration
- Explonatial and logarithms
- Further differentiation
- Further Integration
- Trigonometric Functions
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Question in MASH Bath: Question Bank
Solving a separable differential equation that describes the rate of decay of radioactive isotopes over time with a known initial condition to calculate the mass of the isotope after a given time and the time taken for the mass to reach m grams.
Decay Constant - Radioactivity - Nuclear Power (nuclear-power.com)
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Question in MASH Bath: Question Bank
Calculating area under curves of the form ax2+bx and ax4+bx3+cx2+dx+e in a contextualised problem.
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Question in Ugur's workspace
mass of tetrahedron via integration
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Question in How-tos
A custom marking algorithm picks out the names of the constants of integration that the student has used in their answer, and tries mapping them to every permutation of the constants used in the expected answer. The version that agrees the most with the expected answer is used for testing equivalence.
If the student uses fewer constants of integration, it still works (but they must be wrong), and if they use too many, it's still marked correct if the other variables have no impact on the result. For example, adding +0t to an expression which otherwise doesn't use t would have no impact.
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Question in Engineering Statics
Student is given two points defined symbolically, and must find the equation of the line they define, then use integration to find an equation for the area under the line, bounded by the x-axis and vertical lines through the two points.
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Exam (11 questions) in Martin's workspace
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.
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Exam (17 questions) in Martin's workspace
Quiz designed to test integration of powers of x including negative powers, surds, fractions, etc.
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Question in Brendan's workspace
Separable equation for integration.
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Question in Brendan's workspace
Separable equation for integration.
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Question in Brendan's workspace
Integration by parts.
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Question in Brendan's workspace
Integration by parts.
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Question in Brendan's workspace
Integration by parts.