Integration limit 1to 0 dx/e^x+e^-x

6 May 2024

23 October 2023

Integration of dx/(1+x) root 1+2x-x^2

Integration of dx/(1+x) root 1-x^2

(x^2-1) dy/dx + 2xy = 2/(x^2-1)

Inregration e^tan^-x dx / (1+x^2) ^2

If y = ( x+ root over of x^2+a^2) ^n then prove that dy/dx = ny/root over of x^2+a^2

Find the derivative of e^3x

dx+dy x = e^-y sec^2 y dy

If x-1/x = 2i sim theta then prove that x^4 - x^-4 = 2 i sin 4 theta

Integration limit pi/2 0 cos^2 theta dtheta / sin theta + cos theta

If tan theta = 1/7 and tan fai = 1/3 then prove that cos 2theta = sin 4fai

dy/dx = x+y+1/x+y-1 the value of x=1, y=1

ydx - (x+2y^2) dy =0

1+sin theta /1-sin theta = tan^2 ( pi/4+theta/2)

limit 1/root2 to 0 sin^-1x dx/(1-x^2) ^3/2

If sin alpha + cos alpha = root 2 cos alpha then prove that tan 2 alpha = 1

Integration limit 1to 0 dx/e^x+e^-x

8cos^4theta=3+4cos2theta+cos4theta

dy/dx=root x+y+1

cos^2x dy/dx + y = tanx

If tan^2theta = 1+2tan^2fai then prove that cos2theta + sin^2fai = 0

tan^2y=1+cos2x/1-cos2x

If tan theta = sec2alpha then prove that sin2theta=1-tan^4alpha/1+tan^4alpha