query: How to find definite integral of $\sqrt{1-\sin x}$
positive_passages.docid: 24808
positive_passages.text: How to evaluate the integral $\int \sqrt{1+\sin(x)} dx$
negative_passages.docid: 518
negative_passages.text: What is the integral of $\int e^x\,\sin x\,\,dx$?
negative_passages.docid: 31227
negative_passages.text: Find the indefinite integral $\int {dx \over {(1+x^2) \sqrt{1-x^2}}} $
negative_passages.docid: 146579
negative_passages.text: What is the right first step to take when integrating $1/(2+ \sin x + \cos x)$?
negative_passages.docid: 118330
negative_passages.text: How do we know what the integral of $\sin (x)$ is?
negative_passages.docid: 115089
negative_passages.text: Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
negative_passages.docid: 16639
negative_passages.text: How to integrate $ \int_0^\infty \sin x \cdot x ^{-1/3} dx$ (using Gamma function)
negative_passages.docid: 91333
negative_passages.text: How to find $\int_{0}^{1}\dfrac{\ln^2{x}\ln^2{(1-x)}}{2-x}dx$
negative_passages.docid: 58947
negative_passages.text: Integral of $\int\sin^{3}xdx$
negative_passages.docid: 67340
negative_passages.text: Integrate $\int \frac{dx}{\sqrt{\sin^3x\sin(x+\alpha)}}$
negative_passages.docid: 17333
negative_passages.text: Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$
negative_passages.docid: 57152
negative_passages.text: Solve $\sin x = 1 - x$
negative_passages.docid: 21616
negative_passages.text: Calculate integral $\int_{-1}^{1} (1-x^2)^n dx $
negative_passages.docid: 129947
negative_passages.text: Integral of $\log(\sin(x))$ using contour integrals
negative_passages.docid: 95934
negative_passages.text: How to integrate $\int\frac{1}{\sqrt{1+x^3}}\mathrm dx$?
negative_passages.docid: 135447
negative_passages.text: Compute the integral $\int_0^{\frac\pi2}\frac{\mathrm d \theta}{\sqrt{\sin \theta}}$
negative_passages.docid: 115469
negative_passages.text: Integral of Sinc Function Squared Over The Real Line