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t Using the fact that d/dx ( ln g(x)) = g'(x)/g(x), we can see that the integral of this function will be an ln function. From observing f(x) we see that if the answer was ln(4x-1) then f(x) would need to...
During the session I would go step by step through the integration by substitution.
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 tutor5737 Views
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