Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

evaluate the following integral ∫ 1 + tan x / 1 – tan x dx

evaluate the following integral
∫ 1 + tan x / 1 – tan x dx

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 years ago
Ans:
Hello student,
Please find the answer to your question below

I = \int \frac{1+tanx}{1-tanx}dx
I = \int \frac{1+\frac{sinx}{cosx}}{1-\frac{sinx}{cosx}}dx
I = \int \frac{cosx+sinx}{cosx-sinx}dx
cosx - sinx = t
(-sinx - cosx)dx = dt
I = \int \frac{-1}{t}dt
I = -log(t) + c
I = -log(cosx-sinx) + c

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free