các hệ số chặn 2x+36

Full pad

`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

simplify solve for inverse tangent line

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

∫ x²+4x−45x²+x−30 dx

Solution

x+2511 ln|x−5|−3611 ln|x+6|+8(14 ln|4x²+4x−120|+144 (ln|1211 +211 x|−ln|−1011 +211 x|))+4511 (ln|211 x+1211 |−ln|211 x−1011 |)+C

Show Steps

Hide Steps

Solution steps

One step at a time

∫ x²+4x−45x²+x−30 dx

Mở rộng x²+4x−45x²+x−30 : x²x²+x−30 +4xx²+x−30 −45x²+x−30

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

=∫ x²x²+x−30 dx+∫ 4xx²+x−30 dx−∫ 45x²+x−30 dx

∫ x²x²+x−30 dx=x+2511 ln|x−5|−3611 ln|x+6|

∫ 4xx²+x−30 dx=8(14 ln|4x²+4x−120|+144 (ln|1211 +211 x|−ln|−1011 +211 x|))

∫ 45x²+x−30 dx=−4511 (ln|211 x+1211 |−ln|211 x−1011 |)

=x+2511 ln|x−5|−3611 ln|x+6|+8(14 ln|4x²+4x−120|+144 (ln|1211 +211 x|−ln|−1011 +211 x|))−(−4511 (ln|211 x+1211 |−ln|211 x−1011 |))

Rút gọn x+2511 ln|x−5|−3611 ln|x+6|+8(14 ln|4x²+4x−120|+144 (ln|1211 +211 x|−ln|−1011 +211 x|))−(−4511 (ln|211 x+1211 |−ln|211 x−1011 |)): x+2511 ln|x−5|−3611 ln|x+6|+8(14 ln|4x²+4x−120|+144 (ln|1211 +211 x|−ln|−1011 +211 x|))+4511 (ln|211 x+1211 |−ln|211 x−1011 |)

=x+2511 ln|x−5|−3611 ln|x+6|+8(14 ln|4x²+4x−120|+144 (ln|1211 +211 x|−ln|−1011 +211 x|))+4511 (ln|211 x+1211 |−ln|211 x−1011 |)

Thêm một hằng số vào Lời giải

=x+2511 ln|x−5|−3611 ln|x+6|+8(14 ln|4x²+4x−120|+144 (ln|1211 +211 x|−ln|−1011 +211 x|))+4511 (ln|211 x+1211 |−ln|211 x−1011 |)+C

Time Converter Examples

Chat with Symbo

CHÀO, hỏi một câu hỏi về ∫ x²+4x−45x²+x−30 dx hoặc chọn từ các tùy chọn bên dưới

Hiển thị các vấn đề liên quan

Nhấp để thực hành integration

Cooking Calculators

Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter More calculators

Fitness Calculators

BMI Calculator Calorie Calculator BMR Calculator More calculators

Notebook

View Full Notebook

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

các hệ số chặn 2x+36

Solution

Solution steps

Number Line