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Find the integral of $f\left(t\right)=\frac{2}{\sqrt{t}}+\frac{6}{\sqrt[3]{t^2}}$

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Solution

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Final answer to the problem

$4\sqrt{t}+18\sqrt[3]{t}+C_0$
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Step-by-step Solution

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Find the integral

$\int\left(\frac{2}{\sqrt{t}}+\frac{6}{\sqrt[3]{t^2}}\right)dt$

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

$\int\left(\frac{2}{\sqrt{t}}+\frac{6}{\sqrt[3]{t^2}}\right)dt$

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Learn how to solve integral calculus problems step by step online. Find the integral of f(t)=2/(t^1/2)+6/(t^2^1/3). Find the integral. Simplify the expression inside the integral. The integral \int\frac{2}{\sqrt{t}}dt results in: 4\sqrt{t}. The integral \int\frac{6}{\sqrt[3]{t^{2}}}dt results in: 18\sqrt[3]{t}.

Final answer to the problem

$4\sqrt{t}+18\sqrt[3]{t}+C_0$

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 (2/(t^0.5)+6/(t^2^0.3333))dt using partial fractionsSolve integral of (2/(t^0.5)+6/(t^2^0.3333))dt using basic integralsSolve integral of (2/(t^0.5)+6/(t^2^0.3333))dt using u-substitutionSolve integral of (2/(t^0.5)+6/(t^2^0.3333))dt using integration by partsIntegrate using trigonometric identitiesSolve integral of (2/(t^0.5)+6/(t^2^0.3333))dt using trigonometric substitution

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Function Plot

Plotting: $4\sqrt{t}+18\sqrt[3]{t}+C_0$

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0
a
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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

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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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