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OCR A Level Maths

Integration Basics

OCR (A) H240/02 Jun 2022 A2 Exam Q. 3 :   10 marks in 12:00 min.
OCR (A) H230/01 Nov 2020 AS Exam Q. 1 b :   3 marks in 3:36 min.
OCR (A) H240/02 Nov 2020 A2 Exam Q. 1 bc :   4 marks in 4:48 min.
OCR (A) H230/01 Jun 2019 AS Exam Q. 1 c :   3 marks in 3:36 min.
OCR (A) H230/01 Jun 2018 AS Exam Q. 4 ii :   5 marks in 6:00 min.
OCR (A) H230/01 Jun 2017 AS Sample Exam Q. 5 a :   3 marks in 3:36 min.
Checking answers with numerical integration
Determining the constant of integration
Investigate Integration of ${e^{ax}}$
This display allows you to visualise the integration of $\color{blue}{ { e ^ { \, a \, x } } }$ or $\color{blue}{ { e ^ { \, x } } }$ when a = 1.

The graph of the exponential function is shown in blue and the graph of the integral is in green.
The a-slider allows you to adjust the exponential function and the c-slider allows you to adjust the constant of integration in its integral.
The x-slider allows you to run along the curves to see correpondence at a single point.
Investigate Integration of ${ 1 \over { ax } }$
This display allows you to visualise the integration of $\color{blue}{ { 1 \over { a \, x } } }$ or $\color{blue}{ { 1 \over x } }$ when a = 1.

The graph of the reciprocal function is shown in blue and the graph of the integral is in green.
The a-slider allows you to adjust the exponential function and the c-slider allows you to adjust the constant of integration in its integral.
The x-slider allows you to run along the curves to see correpondence at a single point.
Investigate Trig Integration
This display allows you to visualise some trigonometric integrals.

The graph of the trigonometric function is shown in blue and the graph of the integral is in green.
The k-slider allows you to adjust the trigonometric function and the c-slider allows you to adjust the constant of integration in its integral.
The x-slider allows you to run along the curves to see correpondence at a single point.
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