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miền (x^2)/(x^2+1)

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∫ 32x⁴−56x²8x dx

Solution

12 x²(2x²−7)+C

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∫ 32x⁴−56x²8x dx

Đưa hằng số ra ngoài: ∫a·f(x)dx=a·∫f(x)dx

=18 · ∫ 32x⁴−56x²x dx

Mở rộng 32x⁴−56x²x : 32x⁴x −56x²x

Áp dụng quy tắc tổng: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=18 (∫ 32x⁴x dx−∫ 56x²x dx)

∫ 32x⁴x dx=8x⁴

∫ 56x²x dx=28x²

=18 (8x⁴−28x²)

Rút gọn 18 (8x⁴−28x²): 12 x²(2x²−7)

=12 x²(2x²−7)

Thêm một hằng số vào Lời giải

=12 x²(2x²−7)+C

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

miền (x^2)/(x^2+1)

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