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Integrate the function $\sin\left(x\right)$ from $\frac{1}{2}$ to $2$

Step-by-step Solution

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ln
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sin
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tan
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final Answer

$1.29373$
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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

1

Apply the integral of the sine function: $\int\sin(x)dx=-\cos(x)$

$\left[-\cos\left(x\right)\right]_{\frac{1}{2}}^{2}$

Learn how to solve definite integrals problems step by step online.

$\left[-\cos\left(x\right)\right]_{\frac{1}{2}}^{2}$

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Learn how to solve definite integrals problems step by step online. Integrate the function sin(x) from 1/2 to 2. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Evaluate the definite integral. Simplify the expression inside the integral.

Final Answer

$1.29373$

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 sinxdx from 0.5 to 2 using basic integralsSolve integral of sinxdx from 0.5 to 2 using integration by partsSolve integral of sinxdx from 0.5 to 2 using tabular integrationSolve integral of sinxdx from 0.5 to 2 using weierstrass substitution

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Function Plot

Plotting: $\sin\left(x\right)$

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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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