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Infinite Series Expansion of Catalan's Constant I
6:21
Infinite Series Expansion of Catalan's Constant I
Infinite Series Expansion of arcsin^2x
4:39
Infinite Series Expansion of arcsin^2x
Infinite Series Expansion of arcsinx/sqrt{1-x^2} [2nd Method: Part 2 of 2]
10:01
Infinite Series Expansion of arcsinx/sqrt{1-x^2} [2nd Method: Part 2 of 2]
Infinite Series Expansion of arcsinx/sqrt{1-x^2} [2nd Method: Part 1 of 2]
11:00
Infinite Series Expansion of arcsinx/sqrt{1-x^2} [2nd Method: Part 1 of 2]
Infinite Series Expasion of arcsinx/sqrt{1-x^2} [1st Method: Part 2 of 2]
6:13
Infinite Series Expasion of arcsinx/sqrt{1-x^2} [1st Method: Part 2 of 2]
Infinite Series Expansion of arcsinx/sqrt{1-x^2} [1st Method: Part 1 of 2]
8:40
Infinite Series Expansion of arcsinx/sqrt{1-x^2} [1st Method: Part 1 of 2]
Double Integral of 1/[(x+y)sqrt{(1-x)(1-y)}] over x, y from 0 to 1
10:18
Double Integral of 1/[(x+y)sqrt{(1-x)(1-y)}] over x, y from 0 to 1
Double Integral of sqrt{1-x^2sin^2theta} over x from 0 to 1 and theta from 0 to pi/2
5:55
Double Integral of sqrt{1-x^2sin^2theta} over x from 0 to 1 and theta from 0 to pi/2
Double Integral of 1/sqrt{1-x^2sin^2theta} over x from 0 to 1 and theta from 0 to pi/2
5:35
Double Integral of 1/sqrt{1-x^2sin^2theta} over x from 0 to 1 and theta from 0 to pi/2
Integral of arctan((1-x)/(1+x))/(1-x^2), (pi/4-arctanx)/(1-x^2) from 0 to 1
4:44
Integral of arctan((1-x)/(1+x))/(1-x^2), (pi/4-arctanx)/(1-x^2) from 0 to 1
Double Integral of arctan(sinxsiny) over x in [0, pi/2] and y in [0, pi/2]
4:57
Double Integral of arctan(sinxsiny) over x in [0, pi/2] and y in [0, pi/2]
Integral of ln(1+sinx) from 0 to pi/2
5:24
Integral of ln(1+sinx) from 0 to pi/2
Integral of arctan^2x from 0 to 1
6:11
Integral of arctan^2x from 0 to 1
Integral of ln(tanx) from 0 to pi/12
8:56
Integral of ln(tanx) from 0 to pi/12
Triple Angle Formula for Tangent Function
4:05
Triple Angle Formula for Tangent Function
Integral of xcosx/sqrt(sin^2x+1) from 0 to pi/2
6:14
Integral of xcosx/sqrt(sin^2x+1) from 0 to pi/2
Integral of arcsinh(sinx) from 0 to π/2
7:15
Integral of arcsinh(sinx) from 0 to π/2
Derivative of arcsinhx
5:53
Derivative of arcsinhx
Logarithmic Forms of Inverse Hyperbolic Functions
7:23
Logarithmic Forms of Inverse Hyperbolic Functions
Integral of ln(1+x)/(1+x^2) from 0 to 1 [4th Method: Series Expansion]
9:30
Integral of ln(1+x)/(1+x^2) from 0 to 1 [4th Method: Series Expansion]
Integral of x^2/sin^2x from 0 to pi/4
7:38
Integral of x^2/sin^2x from 0 to pi/4
Integral of x/sinx from 0 to pi/2 [2nd Method]
5:25
Integral of x/sinx from 0 to pi/2 [2nd Method]
Integral of lnx/(sqrt{x}(1+x)) from 0 to 1
6:26
Integral of lnx/(sqrt{x}(1+x)) from 0 to 1
Integral of xsinx/(cosx+sinx) from 0 to pi/2
5:54
Integral of xsinx/(cosx+sinx) from 0 to pi/2
Integral of xcosx/(cosx+sinx) from 0 to pi/2
7:42
Integral of xcosx/(cosx+sinx) from 0 to pi/2
Integral of ln(cosx+sinx) from 0 to pi/2
5:43
Integral of ln(cosx+sinx) from 0 to pi/2
Integral of ln((1+cosx)/(1-cosx)) from 0 to π/2
4:54
Integral of ln((1+cosx)/(1-cosx)) from 0 to π/2
Integrals of ln(1+x)/(1+x^2) from -1 to 0
7:25
Integrals of ln(1+x)/(1+x^2) from -1 to 0
Integrals of ln(cosx), ln(sinx) from 0 to π/4
6:22
Integrals of ln(cosx), ln(sinx) from 0 to π/4
Integral of ln(sinx) from 0 to π/2
4:15
Integral of ln(sinx) from 0 to π/2