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Integrate the function $\sin\left(t\right)$ from $3$ to $-2$

Step-by-step Solution

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Solution

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Final answer to the problem

$-0.5738457$
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Step-by-step Solution

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We can solve the integral $\int\sin\left(t\right)dt$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

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

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

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Learn how to solve definite integrals problems step by step online. Integrate the function sin(t) from 3 to -2. We can solve the integral \int\sin\left(t\right)dt by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v. Solve the integral.

Final answer to the problem

$-0.5738457$

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 sintdt from 3 to -2 using basic integralsSolve integral of sintdt from 3 to -2 using u-substitutionSolve integral of sintdt from 3 to -2 using tabular integrationIntegrate using trigonometric identitiesSolve integral of sintdt from 3 to -2 using weierstrass substitution

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Function Plot

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

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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
D□x
∫
∫◻
|◻|
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:

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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

See formulas (6)

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