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If P, Q and R are three collinear points such that \[\overrightarrow{PQ} = \vec{a}\] and \[\overrightarrow{QR} = \vec{b}\]. Find the vector \[\overrightarrow{PR}\].
Concept: undefined >> undefined
Concept: undefined >> undefined
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Concept: undefined >> undefined
Concept: undefined >> undefined
Concept: undefined >> undefined
Concept: undefined >> undefined
Concept: undefined >> undefined
Concept: undefined >> undefined
The primitive of the function \[f\left( x \right) = \left( 1 - \frac{1}{x^2} \right) a^{x + \frac{1}{x}} , a > 0\text{ is}\]
Concept: undefined >> undefined
\[\int\sqrt{\frac{x}{1 - x}} dx\] is equal to
Concept: undefined >> undefined
Concept: undefined >> undefined
The value of \[\int\frac{\sin x + \cos x}{\sqrt{1 - \sin 2x}} dx\] is equal to
Concept: undefined >> undefined
Concept: undefined >> undefined
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{x^3}{\sqrt{1 + x^2}}dx = a \left( 1 + x^2 \right)^\frac{3}{2} + b\sqrt{1 + x^2} + C\], then
Concept: undefined >> undefined
Concept: undefined >> undefined
If \[\int\frac{1}{\left( x + 2 \right)\left( x^2 + 1 \right)}dx = a\log\left| 1 + x^2 \right| + b \tan^{- 1} x + \frac{1}{5}\log\left| x + 2 \right| + C,\] then
Concept: undefined >> undefined
\[\int\frac{1}{\sqrt{x} + \sqrt{x + 1}} \text{ dx }\]
Concept: undefined >> undefined
\[\int\frac{1 - x^4}{1 - x} \text{ dx }\]
Concept: undefined >> undefined
