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# Find the integral $\int\left(-21\cdot 1x+\frac{1}{x}\right)dx$

## Step-by-step Solution

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### Videos

$-\frac{21}{2}x^2+\ln\left(x\right)+C_0$
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## Step-by-step Solution

Problem to solve:

$\int\left(\left(-21\cdot1\right)\cdot x+\frac{1}{x}\right)dx$

Specify the solving method

1

Simplifying

$\int\left(-21x+\frac{1}{x}\right)dx$

Learn how to solve integral calculus problems step by step online.

$\int\left(-21x+\frac{1}{x}\right)dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(-21*1x+1/x)dx. Simplifying. Expand the integral \int\left(-21x+\frac{1}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-21xdx results in: -\frac{21}{2}x^2. The integral \int\frac{1}{x}dx results in: \ln\left(x\right).

$-\frac{21}{2}x^2+\ln\left(x\right)+C_0$
SnapXam A2

### beta Got another answer? Verify it!

Go!
1
2
3
4
5
6
7
8
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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

$\int\left(\left(-21\cdot1\right)\cdot x+\frac{1}{x}\right)dx$

### Main topic:

Integral Calculus

~ 0.06 s