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The answer is π/2. The key trick to solving this problem is to change variables by using the substitution x = sin(θ). We then need to change the differential and the limits too.
the rule for differentiating in terms of x is to multiply by the power then decrease the power by one. So going through the equation x^3 will be multiplied by 3 and go to x^2 so will be 3x^2. Then its imp...
Suppose:y = arcsin(x)Then, x = sin(y)And, dx/dy = cos(y) ----- (1)Using: dy/dx = 1/(dx/dy);Thus 1 becomes: dy/dx = 1/cos(y) ------ (2)Using: sin^2(y) + cos^2(y) = 1;Answered by James N. • Maths tutor5881 Views
First differentiating by the rule that xn differentiates to nxn-1 we have that dy/dx = 4x2+6x-4. At the turning points of a curve the differential is equal to 0 so w...
use integration by parts
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