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

integral o to π/2 tanx/1+m²tan²x....Solve this......Provide solution fast

integral o to π/2 tanx/1+m²tan²x....Solve this......Provide solution fast

Grade:12th pass

1 Answers

Soumalya Sahoo
13 Points
3 years ago
0 to π/2 tanxdx/(1 +m^2tan^2x)=0 to π/2 (sinx/cosx)dx/((cos^2x+m^2 sin^2x)/cos^2x)=0 to π/2 sinxcosxdx/(cos^2x + m^2(1-cos^2x))Put cosx=t dt =-sinxdx and limit changes to 1 to 01 to 0 -tdt/(t^2 + m^2(1-t^2))= 0 to 1 tdt/(t^2(1-m^2)+m^2)= 1/2(1-m^2) 0 to 1 2t(1-m^2)dt/(t^2(1-m^2)+m^2)=1/2(1-m^2)[ln(t^2(1-m^2)+m^2)] from 0 to 1=1/2(1-m^2)[0-2lnm]=lnm/(m^2-1)

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