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JamesJ
  • Member for 4 years, 10 months
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6 votes

A sine integral $\int_0^{\infty} \left(\frac{\sin x }{x }\right)^n\,\mathrm{d}x$

4 votes

Evaluation of the integral $\int{\frac{x+\sin{x}}{1+\cos{x}}\mathrm{d}x}$ by parts

3 votes

Solve $y^{(4)}-2y^{(3)}+2y'-y=xe^x.$

3 votes

Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$

2 votes

Evaluating $ \int \frac{1}{\sin x} dx $

2 votes

Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$

2 votes

Using contour integration, or other means, is there a way to find a general form for $\int_{0}^{\infty}\frac{\sin^{n}(x)}{x^{n}} \, dx$?

1 vote

Integrate the expression $\int\frac{x}{1+\sin x}\ \text dx$

1 vote

Integration by Partial Fractions $\int\frac{1}{(x+1)^3(x+2)}dx$

1 vote

Integral $\int \frac{dx}{\tan x + \cot x + \csc x + \sec x}$

1 vote

Integration by guessing the form of the numerator

1 vote

Compute $\int_{0}^{\frac{\pi}{2}}\frac{\sin^2x\cos x}{\sin x+\cos x}dx$

1 vote

Evaluate $\int \frac{\cos 2x \: dx}{3 \sin x+4 \cos x}$

1 vote

Solving $\frac{dy}{dt} - y = 1 + \cos t$, using the integrating factor method

1 vote

How to evaluate this $\int_{-1}^1 (\frac{1}{x}+1-\frac{\sqrt{1-x^2}}{x})\arctan\frac{2}{x^2}dx$

1 vote
Accepted

Example: Solve a Second Order Nonhomogeneous ODE with Constant Coefficients by Variation of Parameters (2R-17)

0 votes

How to evaluate $\int \frac{\mathrm dx}{1+\sin x−\cos x} $?

0 votes

Solving $y'' + 4y = 3 \sin 2x$ using undetermined coefficients

0 votes

How to find this integral $I=\int_{-\pi}^{+\pi}\frac{x\sin{x}\arctan{e^x}}{1+\cos^2{x}}dx$?

0 votes

Compute $\int \frac{\cos ^2x+\cos (\sin x)}{\sin x \sin (\sin x)+1} \, dx$

0 votes

How to integrate $\int\frac{1}{1+\sin(x)} dx$

0 votes

Second Order differential eqn.

0 votes

How to evaluate $\int\limits^1_0 \sqrt{1+\frac{1}{x}}\, \text{d}x$

0 votes

Evaluate Higher Order Homogenous Differential Equation $ (D^4 - D^3)y=0; y(0) = 1 = y'(0), y''(1) = 3e, y'''(1) = e $

0 votes

How to integrate $\int{\frac{1}{\cos(x)}}dx$ using the substitution $u=\tan\left(\frac{x}2\right)$?

0 votes

How do I solve $\int\frac{dx}{\sin x+\cos x-1}$?

0 votes

Indefinite integral $\int\sqrt{\frac{x+1}{x}}dx$

-1 votes

A handy integration trick