integral of picsc(x)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

implicit derivative tangent volume laplace fourier

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Steps Examples

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taylor cos(2x+5)

Solution

cos(5)−2sin(5)x−2cos(5)x²+4sin(5)3 x³+2cos(5)3 x⁴+…

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Solution steps

One step at a time

(

1	2	3
4	5	6
7	2	9

)⁻¹

Inverse matrix

A matrix is invertible if and only if there is a sequence of elementary row (or column) operations taking it to the identity matrix.

Augment with a 3x3 identity matrix

[

1	2	3	∣	1	0	0
4	5	6	∣	0	1	0
7	2	9	∣	0	0	1

]

Reduce the matrix on the left to the identity matrix

[

1	0	0	∣	−1112	13	112
0	1	0	∣	−16	13	−16
0	0	1	∣	34	−13	112

]

The inverse matrix is on the right side of the augmented matrix

−1112	13	112
−16	13	−16
34	−13	112

)

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