limit as x approaches 0 of (sin (x))/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

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Steps Examples

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∫ x²ln(7x⁵)dx

Solution

13 x³(ln(7)+5ln(x))−5x³9 +C

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Solution steps

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∫ x²ln(7x⁵)dx

Apply Integration By Parts: 13 x³ln(7x⁵)−∫ 5x²3 dx

=13 x³ln(7x⁵)−∫ 5x²3 dx

∫ 5x²3 dx=5x³9

=13 x³ln(7x⁵)−5x³9

Simplify ln(7x⁵): 5ln(x)+ln(7)

=13 x³(ln(7)+5ln(x))−5x³9

Add a constant to the solution

=13 x³(ln(7)+5ln(x))−5x³9 +C

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