integral of xa^x

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

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ddx

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

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∫ xa^xdx

Solution

a^xxln(a) −a^xln²(a) +C

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∫ xa^xdx

Apply Integration By Parts: a^xxln(a) −∫ a^xln(a) dx

=a^xxln(a) −∫ a^xln(a) dx

∫ a^xln(a) dx=a^xln²(a)

=a^xxln(a) −a^xln²(a)

Add a constant to the solution

=a^xxln(a) −a^xln²(a) +C

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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integral of xa^x

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