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Integrate the function $\frac{\pi }{982^{\frac{3}{2}}}-\frac{\pi}{9}$ from 0 to $3$

Step-by-step Solution

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Solution

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Final Answer

$-1.046891$
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Step-by-step Solution

Problem to solve:

$\int_{0}^{3}\left(\frac{\pi }{982^{\frac{3}{2}}}-\frac{\pi}{9}\right)dx$

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1

Simplifying

$\int_{0}^{3}\left(\frac{\pi }{\sqrt{\left(982\right)^{3}}}-\frac{\pi}{9}\right)dx$

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

$\int_{0}^{3}\left(\frac{\pi }{\sqrt{\left(982\right)^{3}}}-\frac{\pi}{9}\right)dx$

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Unlock the first 2 steps of this solution.

Learn how to solve definite integrals problems step by step online. Integrate the function pi/(982^(3/2))-pi/9 from 0 to 3. Simplifying. Simplify the expression inside the integral. The integral \int_{0}^{3}\frac{1}{9795}dx results in: 0.000306. The integral \int_{0}^{3}-\frac{\pi}{9}dx results in: -\frac{\pi}{3}.

Final Answer

$-1.046891$

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 int(pi/(982^(3/2))-pi/9)dx&0&3 using partial fractionsSolve int(pi/(982^(3/2))-pi/9)dx&0&3 using basic integralsSolve int(pi/(982^(3/2))-pi/9)dx&0&3 using u-substitutionSolve int(pi/(982^(3/2))-pi/9)dx&0&3 using integration by partsSolve int(pi/(982^(3/2))-pi/9)dx&0&3 using trigonometric substitution

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0
a
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f
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m
n
u
v
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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

Used formulas:

2. See formulas

Time to solve it:

~ 0.04 s

Related topics:

Definite IntegralsIntegral CalculusCalculus

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