\[\int\limits_0^3 \frac{3x + 1}{x^2 + 9} dx =\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
The value of the integral \[\int\limits_0^\infty \frac{x}{\left( 1 + x \right)\left( 1 + x^2 \right)} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_{- \pi/2}^{\pi/2} \sin\left| x \right| dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \frac{1}{1 + \tan x} dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
The value of \[\int\limits_0^{\pi/2} \cos x\ e^{\sin x}\ dx\] is
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
If \[\int\limits_0^a \frac{1}{1 + 4 x^2} dx = \frac{\pi}{8},\] then a equals
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
If \[\int\limits_0^1 f\left( x \right) dx = 1, \int\limits_0^1 xf\left( x \right) dx = a, \int\limits_0^1 x^2 f\left( x \right) dx = a^2 , then \int\limits_0^1 \left( a - x \right)^2 f\left( x \right) dx\] equals
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
The value of \[\int\limits_{- \pi}^\pi \sin^3 x \cos^2 x\ dx\] is
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_{\pi/6}^{\pi/3} \frac{1}{\sin 2x} dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_{- 1}^1 \left| 1 - x \right| dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
The derivative of \[f\left( x \right) = \int\limits_{x^2}^{x^3} \frac{1}{\log_e t} dt, \left( x > 0 \right),\] is
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
If \[I_{10} = \int\limits_0^{\pi/2} x^{10} \sin x\ dx,\] then the value of I10 + 90I8 is
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^1 \frac{x}{\left( 1 - x \right)^\frac{5}{4}} dx =\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\lim_{n \to \infty} \left\{ \frac{1}{2n + 1} + \frac{1}{2n + 2} + . . . + \frac{1}{2n + n} \right\}\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
The value of the integral \[\int\limits_{- 2}^2 \left| 1 - x^2 \right| dx\] is ________ .
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \frac{1}{1 + \cot^3 x} dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \frac{\sin x}{\sin x + \cos x} dx\] equals to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^1 \frac{d}{dx}\left\{ \sin^{- 1} \left( \frac{2x}{1 + x^2} \right) \right\} dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} x \sin x\ dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \sin\ 2x\ \log\ \tan x\ dx\] is equal to
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
