Math, asked by tallamseshasri, 5 months ago

integration(√tanx + √cotx) dx is equals to

Answers

Answered by hirkneepatel30529
0

Answer:

tanx

+

cotx

dx=∫

cosx

sinx

+

sinx

cosx

dx

sinxcosx

sinx+cosx

dx=

2

2sinxcosx

sinx+cosx

dx

=

2

2sinxcosx+1−1

sinx+cosx

dx=

2

1−(sinx−cosx)

2

sinx+cosx

dx

put sinx−cosx=t (sinx+cosx)=dt

=

2

1−t

2

dt

=

2

sin

−1

t+c

=

2

sin

−1

(sinx−cosx)+c

Answered by mathgenius11
0

Step-by-step explanation:

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