derivative of picsc(x)

Topic

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

implicit derivative tangent volume laplace fourier

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

∫ x²−6x+8x−4 dx

Solution

2x+12 (x−4)²−8+C

Show Steps

Hide Steps

Solution steps

One step at a time

∫ x²−6x+8x−4 dx

Expand x²−6x+8x−4 : x²x−4 −6xx−4 +8x−4

Apply the Sum Rule: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=∫ x²x−4 dx−∫ 6xx−4 dx+∫ 8x−4 dx

∫ x²x−4 dx=(x−4)²2 +8(x−4)+16ln|x−4|

∫ 6xx−4 dx=6(x−4+4ln|x−4|)

∫ 8x−4 dx=8ln|x−4|

=(x−4)²2 +8(x−4)+16ln|x−4|−6(x−4+4ln|x−4|)+8ln|x−4|

Simplify (x−4)²2 +8(x−4)+16ln|x−4|−6(x−4+4ln|x−4|)+8ln|x−4|: 2x+12 (x−4)²−8

=2x+12 (x−4)²−8

Add a constant to the solution

=2x+12 (x−4)²−8+C

Description

The Calculus Calculator is a powerful online tool designed to assist users in solving various calculus problems efficiently. Here's how to make the most of its capabilities:

Begin by entering your mathematical expression into the above input field, or scanning it with your camera.
Choose the specific calculus operation you want to perform, such as differentiation, integration, or finding limits.
Once you've entered the function and selected the operation, click the 'Go' button to generate the result.
The calculator will instantly provide the solution to your calculus problem, saving you time and effort.

Calculus Examples