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Integrate the function $x^2+1$ from 0 to $1$

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 Final answer to the problem

$\frac{4}{3}$
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 Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
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1

Expand the integral $\int_{0}^{1}\left(x^2+1\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{0}^{1} x^2dx+\int_{0}^{1}1dx$

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

$\int_{0}^{1} x^2dx+\int_{0}^{1}1dx$

Learn how to solve differential calculus problems step by step online. Integrate the function x^2+1 from 0 to 1. Expand the integral \int_{0}^{1}\left(x^2+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1} x^2dx results in: \frac{1}{3}. The integral \int_{0}^{1}1dx results in: 1. Gather the results of all integrals.

 Final answer to the problem

$\frac{4}{3}$

 Exact Numeric Answer

$1.3333$

 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

SnapXam A2

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1
2
3
4
5
6
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: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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