query: Evaluate $\int{\sin^3(x)\cos^2(x)}dx$
positive_passages.docid: 20746
positive_passages.text: Evaluating $\int P(\sin x, \cos x) \text{d}x$
negative_passages.docid: 60491
negative_passages.text: Evaluate $ \int_{25\pi/4}^{53\pi/4}\frac{1}{(1+2^{\sin x})(1+2^{\cos x})}dx $
negative_passages.docid: 71982
negative_passages.text: Evaluating this integral $ \small\int \frac {x^2 dx} {(x\sin x+\cos x)^2} $
negative_passages.docid: 130736
negative_passages.text: Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
negative_passages.docid: 145907
negative_passages.text: How do you evaluate this integral $\int \frac{6x^{3}+7x^2-12x+1}{\sqrt{x^2+4x+6}}dx$
negative_passages.docid: 41447
negative_passages.text: tough integral involving $\sin(x^2)$ and $\sinh^2 (x)$
negative_passages.docid: 63576
negative_passages.text: Evaluate the integral $\int \frac{\sec x}{\sqrt{3+\tan x}}dx$
negative_passages.docid: 6852
negative_passages.text: Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $
negative_passages.docid: 43699
negative_passages.text: How do I integrate $\int \frac{dx}{\sin^3 x + \cos^3 x}$?
negative_passages.docid: 130668
negative_passages.text: Evaluating the integral with trigonometric integrand
negative_passages.docid: 31493
negative_passages.text: Complex integral help involving $\sin^{2n}(x)$
negative_passages.docid: 61740
negative_passages.text: Evaluate the integration : $\int\sqrt{\frac{(1-\sin x)(2-\sin x)}{(1+\sin x)(2+\sin x)}}dx$
negative_passages.docid: 24808
negative_passages.text: How to evaluate the integral $\int \sqrt{1+\sin(x)} dx$
negative_passages.docid: 65847
negative_passages.text: To evaluate $\int_{0}^\pi \frac {\sin^2 x}{a^2-2ab \cos x + b^2}\mathrm dx$?
negative_passages.docid: 65028
negative_passages.text: Evaluate $\int\frac {\csc^2{x}-2005}{\cos^{2005}{x}} dx $
negative_passages.docid: 9653
negative_passages.text: Evaluate the integral $\int^{\frac{\pi}{2}}_0 \frac{\sin^3x}{\sin^3x+\cos^3x}\,\mathrm dx$.
negative_passages.docid: 25489
negative_passages.text: Evaluate the Integral: $\int e^{2\theta}\ \sin 3\theta\ d\theta$