Question

integral(1+tan^3(x)).sec^2(x) dx​

Answer 1

Answer:

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12th

Maths

Integrals

Integration by Substitution

∫tan3 2x sec 2x dx

MATHS

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Asked on December 20, 2019 by

Rythm Potnuru

∫tan

3

2xsec2xdx

HARD

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Study later

ANSWER

LetI=∫tan

3

2x.sec2xdx

=∫tan

2

2x.sec2x.tan2xdx

=∫(sec

2

2x−1)sec2x.tan2xdx

Put sec2x=t

2sec2x.tan2xdx=dt

Now sec2x.tan2xdx=

2

dt

I=

2

1

∫(t

2

−1)dt

=

2

1

[

3

t

3

−t]+C

=

2

1

[

3

sec

3

2x

−sec2x]+C

Step-by-step explanation:

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Answer 2

Answer:

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