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# Find the integral $\int\left(7-x\cdot x\right)dx$

## Step-by-step Solution

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###  Videos

$7x+\frac{-x^{3}}{3}+C_0$
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##  Step-by-step Solution 

Specify the solving method

We could not solve this problem by using the method: Integration by Substitution

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Simplify the expression inside the integral

$\int7dx+\int-x^2dx$

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

$\int7dx+\int-x^2dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(7-xx)dx. Simplify the expression inside the integral. The integral \int7dx results in: 7x. The integral \int-x^2dx results in: \frac{-x^{3}}{3}. Gather the results of all integrals.

$7x+\frac{-x^{3}}{3}+C_0$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve integral of (7+-1x)dx using partial fractionsSolve integral of (7+-1x)dx using basic integralsSolve integral of (7+-1x)dx using integration by partsSolve integral of (7+-1x)dx using trigonometric substitution

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1
2
3
4
5
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7
8
9
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

### Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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