β d x = 2 t d t 1 + t 4. Sec 2 x d x = 2 t d t. There are two methods to deal with π‘ππβ‘π₯ (1) convert into π ππβ‘π₯ and πππ β‘π₯ ,.
Example 41 Evaluate integral [root cot x + root tan x
Hence, i = β«{t β 2t 1 + t4 }dt = β« 2t2 1 + t4 dt = β« 2 t2 + 1 t2 dt.
Cosβ‘π₯/cosβ‘π₯ ) = β (tanβ‘π₯ )/ (sinβ‘π₯.
Which is the easiest way to evaluate $\int \limits_{0}^{\pi/2} (\sqrt{\tan x} +\sqrt{\cot x})$? = β« 1 + 1 t2 t2 + 1 t2 dt +β« 1 β 1 t2 t2 + 1 t2 dt = i. Here is the answer to your question. I = β« [tan x + c o t x] d x i = β« [tan x + 1 tan x] d x i = β« [tan x + 1 tan x] d x i = β« tan x (1 + c o t x) d x tan x = t 2, s e c 2 x d x = 2 t d t hence d x = 2 t d t 1 + t 4 a s (1 + tan 2 x = s e c 2 x) s.
β΄ i = β« t ( 1 + 1 t 2) Γ 2 t 1 + t 4 d t.
Follow this answer to receive notifications. I=β« 0 2Ο ( tanx + cotx )dx i=β« 0 2Ο ( cosxsinx + sinxcosx )dx i=β« 0 2Ο ( sinxcosx sinx+cosx )dx letz=sinxβcosx,dz=(cosx+sinx)dx z 2=sin 2x+cos 2xβ2sinxcosx z 2=1β2sinxcosx 2sinxcosx=1βz 2 sinxcosx= 21βz 2 when,x=0,t=β1;x= 2Ο ,t=1 i=β« β11. Cos^2β‘π₯/cosβ‘π₯ ) = β (tanβ‘π₯ )/ (cos^2β‘π₯. Integral root cotx divided by sinx cosx cotx = cosx/sinx.
Ex 7.2, 34 integrate β (tanβ‘π₯ )/sinβ‘γπ₯ cosβ‘π₯ γ simplifying the function β (tanβ‘π₯ )/sinβ‘γπ₯ cosβ‘π₯ γ = β (tanβ‘π₯ )/ (sinβ‘γπ₯ cosβ‘π₯ γ.
Integral of 0 to pi/2 root (cot x) / root( cotx)+root (tan x) dx get the answers you need, now! = β« ( tan x ( 1 + cot x)) d x. Root tanx + root cot x root sinx/cosx + rootcoxx/sinx = ro. Now make a t β 1 t substitution and we get the answer.
Other related questions on integral calculus.
I = β« ( cot x + tan x) d x. I have reduced this problem to $$ 2\int_0^{\pi/2} \sqrt{\tan x} \ dx$$ but now, evaluating this L e t tan x = t 2. The answer is =2sqrt(tanx)+c we need tanx=sinx/cosx sinx=cosxtanx=tanx/secx therefore, the integral is i=int(sqrt(tanx)dx)/(sinxcosx)=int(sqrt(tanx)dx)/(tanx/secx*1/secx) =int(sec^2xdx)/sqrt(tanx) let u=tanx, =>, du=sec^2xdx the integral is i=int(du)sqrt(u) =sqrt(u)/(1/2) =2sqrt(u) =2sqrt(tanx)+c
T h e n, i = β« 0 Ο 4 ( sin.
Find integral of root tan x. Gopal mohanty, meritnation expert added an answer, on 10/12/10. X d x = 2 β« t 2 + 1 t 4 + 1 d t = 2 β« 1 + 1 t 2 ( t β 1 t) 2 + 2 d t. = 2 β« t 2 + 1 t 4 + 1 d t.
L e t i = β« 0 Ο 4 ( tan.
Click hereπto get an answer to your question οΈ int^ (β(tanx)+β(cotx))dx =
