Karnataka Board PUCPUC Science 2nd PUC Class 12

Write a Value of ∫ Tan 3 X Sec 2 X D X - Mathematics

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Sum

Write a value of

\[\int \tan^3 x \sec^2 x \text{ dx }\].

 

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Solution

Let I=\[\int\]  tan3 x . sec2 x dx

Let tan x = t
⇒ sec2x dx = dt
\[\therefore\]\[\int\] t3 . dt
\[= \frac{t^4}{4} + C\]
\[ = \frac{\tan^4 x}{4} + C \left( \because t = \tan x \right)\]

 

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Chapter 19: Indefinite Integrals - Very Short Answers [Page 197]

APPEARS IN

RD Sharma Class 12 Maths
Chapter 19 Indefinite Integrals
Very Short Answers | Q 4 | Page 197

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