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 integration
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Apr
24
answered Evaluate $\text{k}$ from the given equation
Apr
15
comment Evaluating: $I_1 = \sin^{-1} \left(\sqrt{\frac{x}{x+a}}\;\right) $
Why not instead use parts with $v = x + a$ and $u = \arcsin \sqrt{ \frac{ x}{x+a}}$? This simplifies the last integral tremendously
Apr
9
answered Not sure how to evaluate $\lim_{x\to 0}\frac{\sin6x}{\sin2x}$ (without l'Hospital)
Mar
31
comment How to integrate cos3θ/(5−4cosθ) from 0 to 2π?
You need to take the real part of the integral. $\Re(e^{i 3 \theta}) = \cos 3 \theta$
Mar
31
comment How to integrate cos3θ/(5−4cosθ) from 0 to 2π?
Yeah, calculating the residues of quartic polynomials are so much fun... I prefer this aproach by far.
Mar
31
comment How to integrate cos3θ/(5−4cosθ) from 0 to 2π?
Why not use Cauchy Residue Theorem om the integral science posted?
Mar
28
comment Find the arc length of the curve.
You can simplify the final answer into $s = a \bigl( 3 \ln (1+\sqrt{2}) + 7 \sqrt{2}\bigr)$
Mar
23
comment Evaluate the following indefinite integral
@S.panja updated.
Mar
23
revised Evaluate the following indefinite integral
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Mar
23
revised Evaluate the following indefinite integral
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Mar
23
comment Evaluate the following indefinite integral
It might be nice if the OP shows some effort himself =) I will give it some time then fill in the gaps.
Mar
23
revised Evaluate the following indefinite integral
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Mar
23
answered Evaluate the following indefinite integral
Mar
22
revised Laplace Transform to evaluate an integral
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Mar
22
answered Laplace Transform to evaluate an integral
Mar
22
comment Evaluate the following indefinite integral
@Lucian, how would you go about proving the $\pi/3$ case?
Mar
19
comment Wolfram alpha integral
The problem is that wolfram alpha, does not know wheter $\lamba$ and are positive numbers. If lambda is negative the integral diverges. The problem is not with the limits, but wolfram's inability to decipher expressions containing symbols.
Mar
15
comment Trouble solving $\int\frac{\sec^2\theta}{\tan^2\theta-4}d\theta$
this seems correct, note that $\int \frac{\mathrm{d}x}{x - a} = \log\left| x - a \right| + \mathcal{c}$
Mar
15
revised Use Green's theorem to calculate line integral
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Mar
15
revised Use Green's theorem to calculate line integral
added 1970 characters in body