INTEGRATION USING SUBTITUTION METHOD

INTEGRATION USING SUBSTITUTION METHOD (LeaDI)

INTRODUCTION

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STEPS OF SUBSTITUTION METHOD OF INTEGRATION

substitute u=g(x) and du=g'(x)dx to obtain the integral

replace u by g(x) in the result

Choose u=g(x) and differentiate u to get du=g'(x)dx

integrate with respect to u

Technique LeaDI to help select u

InsideBracket

Denominator

Angle (a) of Trigonometric

log / ln(inside bracket)

Exponent Power

function that comes first in the arrangement of LeaDI will be chosen to be substituted as u

EXAMPLES

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EXAMPLE 1

EXAMPLE 2

EXAMPLE 3

EXAMPLE 4

EXAMPLE 5

YOUTUBE LINK

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quiz: INTEGRATION BY USING SUBSTITUTION METHOD

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Home

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VIDEO

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question 1/5

Choose the correct u for the substitution of the integration

ln x

question 2/5

Choose the correct u for the substitution of the integration

3x 3

3x 3+2

x 2

question 3/5

Choose the correct u for the substitution of the integration

6x

3x2

question 4/5

Choose the correct u for the substitution of the integration

2x

x 2

cos x 2

question 5/5

Choose the correct u for the substitution of the integration

x2

(x3+3)5

x3+3

you failed!

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