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Introduction to Integration

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Core techniques for antiderivatives—basic rules, substitution, definite integrals and area-under-curve problems.

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Uploaded on
May 10, 2025
Number of pages
20
Written in
2024/2025
Type
Class notes
Professor(s)
Sir zain
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INTEGRATION P1
10 Marks Easy


OUTCOMES D AREA UNDERGRAPH
2 VOLUME OF ROTATION
3 REVERSE WORKING




Fie
Symbol
idn
g
HOW TO INTEGRATE

POWER RULE J ft
nt 1
BUT YOU CANNOT START INTEGRATION
DIRECTLY THERE ARE SOME CONDITIONS
THAT NEED TO BE FULFILLED BEFORE
YOU START
CONDITIONS
1
you are not allowed to integrate

, I egr
the power unless DIFF OF BOX
is present outside power operator
2 Once this condition is fulfilled
three things disappear

J da
are allowed to integrate
and
you
power


1 35da
f
n he not allowedto integrate
the power unless DIFFOFBox
is present outside poweroperator
2 Once this condition is fulfilled
threethings disappear


pitiften so
and you are
power
a
allowed to integrat



316
1
6

, du
f
2 2n 5



an ant


1 2 578
2 8
12 518
16




3 32 5 du
disappear



FÉt5fn 301 5
B
1311515

3 515
15
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