can tan theeta be integrated?

can tan theeta be integrated?


5 Answers

Neha Gaur
6 Points
10 years ago

integration of tan theeta is log|sec theeta| +constant

Godfrey Classic Prince
633 Points
10 years ago


Yes ofcourse. Tanθ can be integrated.

∫tanθ = -ln|cosθ| + C

where C is the Integral Constant .


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Godfrey Classic Prince


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sparsh shrivastava
19 Points
10 years ago

yes you can intergrate tan theeta.


tan q = sin q/cos q (1)


y = cos q

so, dy/dq = -sin q

this implies, dq=dy/-sin q  (2)


putting values in (1)

∫ 1/-y 

= -log|y|

=-log|cos q|


so the ∫ tan q = -log|cos q|

himanshu saini
31 Points
10 years ago

yes     log|tantheeta +sectheeta|

16 Points
10 years ago

s u can integrate tanθ

write tanθ=sinθ/cosθ

so now, integral of tanθ.dθ=integral of sinθ/cosθ.dθ→1

put cosθ=t→2

there fore -sinθ.dθ=dt→3

put 2 and 3 in 1

so,the question becomes integral of tanθ.dθ=integral of -dt/t→4

=-log t +c      →   5                  [reason:dx/x=logx]

put 2 in 5,


=-log cosθ+C

where C is the integration constant


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