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Integrate the function $2x$ from $10$ to $13$

Step-by-step Solution

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Final Answer

$69$
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Step-by-step Solution

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We could not solve this problem by using the method: Integrate by trigonometric substitution

1

The integral of a constant times a function is equal to the constant multiplied by the integral of the function

$2\int_{10}^{13} xdx$

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$2\int_{10}^{13} xdx$

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Learn how to solve definite integrals problems step by step online. Integrate the function 2x from 10 to 13. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplify the expression inside the integral.

Final Answer

$69$

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 2xdx from 10 to 13 using partial fractionsSolve integral of 2xdx from 10 to 13 using basic integralsSolve integral of 2xdx from 10 to 13 using u-substitutionSolve integral of 2xdx from 10 to 13 using integration by parts

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Function Plot

Plotting: $2x$

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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

How to improve your answer:

Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

1. See formulas

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