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\[\int\left( x - 1 \right) e^{- x} dx\] is equal to
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
If `int(2x^(1/2))/(x^2) dx = k . 2^(1/x) + C`, then k is equal to ______.
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
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\[\int\frac{1}{1 + \tan x} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int e^x \left( 1 - \cot x + \cot^2 x \right) dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{\sin^6 x}{\cos^8 x} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
If P, Q and R are three collinear points such that \[\overrightarrow{PQ} = \vec{a}\] and \[\overrightarrow{QR} = \vec{b}\]. Find the vector \[\overrightarrow{PR}\].
Chapter: [10] Vectors
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{1}{7 + 5 \cos x} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{1}{1 - \cos x - \sin x} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{\sin x}{3 + 4 \cos^2 x} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int e^x \left( \frac{1 - \sin x}{1 - \cos x} \right) dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{2}{\left( e^x + e^{- x} \right)^2} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{e^x \left( 1 + x \right)}{\cos^2 \left( x e^x \right)} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{\sin^2 x}{\cos^4 x} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
The primitive of the function \[f\left( x \right) = \left( 1 - \frac{1}{x^2} \right) a^{x + \frac{1}{x}} , a > 0\text{ is}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\sqrt{\frac{x}{1 - x}} dx\] is equal to
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int e^x \left\{ f\left( x \right) + f'\left( x \right) \right\} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
The value of \[\int\frac{\sin x + \cos x}{\sqrt{1 - \sin 2x}} dx\] is equal to
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{\cos 2x - 1}{\cos 2x + 1} dx =\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{\cos2x - \cos2\theta}{\cos x - \cos\theta}dx\] is equal to
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{x^9}{\left( 4 x^2 + 1 \right)^6}dx\] is equal to
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
