integral of sin^7(x)cos^4(x)

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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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∫ (2x³+11x²+5x)(2x²+x) dx

Solution

x²2 +5x+C

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∫ 2x³+11x²+5x2x²+x dx

Simplificar 2x³+11x²+5x2x²+x : x+5

=∫ x+5dx

Aplicar a regra da soma: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=∫ xdx+∫ 5dx

∫ xdx=x²2

∫ 5dx=5x

=x²2 +5x

Adicionar uma constante à solução

=x²2 +5x+C

Verify Result

=x²2 +5x+C

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integral of sin^7(x)cos^4(x)

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integral of sin^7(x)cos^4(x)

Solution

Solution steps

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