" WCERT) "quad " (ii) "(sin x+x^(2))/(cot2x)" ."

y = ((sin x + x ^ (2)) / (cot2x))

Integrate the following with respect to x. (i) 1/(cos^2x) " " (ii) (cot x)/(sin x) " " (iii) (sin x)/(cos^2 x) " " (iv) 1/(sqrt(1 - x^2)) .

Find (dy)/(dx), when y=(sin x+x^(2))/(cot2x)

Find the slope of the tangent and normal to the following curve. (i) y = 2x^(2) + 3 sin x at x = 0 (ii) y = (sin 2x + cot x + 2)^(2) "at x" = (pi)/(2)

(sin 2x)/(1- cos 2x ) = cot x

Prove that (i).(sin 2x)/(1-cos 2x) = cot x" " (ii) .(1- cos 2x)/(1+ cos 2x) = tan^(2) x

Find the slope of the tangent of the curve (i) y = (x^(3) -x) " at " x = 2 (ii) y = (2x^(2) + 3 sin x) " at " x = 0 (iii) y = (sin 2x + cot x + 2)^(2) " at " x = (pi)/(2)

sin 2x (tan x + cot x) = ?

Compute derivative of (i) f" "(x)" "=" "sin" "2x (ii) g(x)" "=" "cot" "x

Evaluate: (i) int(sin x)/((1+cos x)^(2))dx (ii) int cot x log sin xdx