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domínio x^4-x^2

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

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

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Steps Examples

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rango x²−5

Solution

f(x)≥ −5

Interval Notation

[−5, ∞ )

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Solution steps

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∫ sin⁹(x)dx

Re-escribir usando identidades trigonométricas

=∫ (1−cos²(x))⁴sin(x)dx

Aplicar integración por sustitución: ∫ −(1−u²)⁴du

=∫ −(1−u²)⁴du

Expandir −(1−u²)⁴: −1+4u²−6u⁴+4u⁶−u⁸

=∫ −1+4u²−6u⁴+4u⁶−u⁸du

Aplicar la regla de la suma: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=−∫ 1du+∫ 4u²du−∫ 6u⁴du+∫ 4u⁶du−∫ u⁸du

∫ 1du=u

∫ 4u²du=4u³3

∫ 6u⁴du=6u⁵5

∫ 4u⁶du=4u⁷7

∫ u⁸du=u⁹9

=−u+4u³3 −6u⁵5 +4u⁷7 −u⁹9

Sustituir en la ecuación u=cos(x)

=−cos(x)+4cos³(x)3 −6cos⁵(x)5 +4cos⁷(x)7 −cos⁹(x)9

Agregar una constante a la solución

=−cos(x)+4cos³(x)3 −6cos⁵(x)5 +4cos⁷(x)7 −cos⁹(x)9 +C

Solve instead

domínio x²−5

vértices x²−5

inversa x²−5

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

domínio x^4-x^2

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