Integration by Parts (Leaving Cert Applied Maths): Flashcards

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Integration by Parts
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Purpose of integration by parts

Integrate products of two functions

Integration by parts reverses which rule?

Product rule

Integration by parts formula

∫u⋅dv=uv−∫v⋅du\int u \cdot dv = uv - \int v \cdot du

What is uu in integration by parts?

The part we differentiate

What is dvdv in integration by parts?

The part we integrate

INLATE rule purpose

Priority order for choosing uu

'L' in INLATE

Logarithmic functions

'A' in INLATE

Algebraic functions

'T' in INLATE

Trigonometric functions

'E' in INLATE

Exponential functions

If integration by parts returns to original integral?

Solve algebraically

When integration by parts doesn't work well

For composite functions

Explore Leaving Cert Applied Maths Revision Notes by Topics

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Calculus & Differential Equations

Real-World Applications

Differential Equations

Real-World Applications

Explore Leaving Cert Applied Maths Quizzes by Topics

Calculus & Differential Equations

Real-World Applications

Differential Equations

Real-World Applications

Explore Leaving Cert Applied Maths Exam Questions by Topics

Calculus & Differential Equations

Real-World Applications

Differential Equations

Real-World Applications

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