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Integrate the function $\sqrt{x}$ from $1$ to $\frac{61}{25}$

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Solution

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Final Answer

$1.874268$
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Step-by-step Solution

Problem to solve:

$\int_{1}^{\frac{61}{25}}\sqrt{x}dx$

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1

Simplifying

$\int_{1}^{\frac{61}{25}}\sqrt{x}dx$

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

$\int_{1}^{\frac{61}{25}}\sqrt{x}dx$

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Learn how to solve definite integrals problems step by step online. Integrate the function x^1/2 from 1 to 61/25. Simplifying. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as \frac{1}{2}. Evaluate the definite integral. Simplify the expression inside the integral.

Final Answer

$1.874268$

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(x^1/2)dx&1&61/25 using partial fractionsSolve int(x^1/2)dx&1&61/25 using basic integralsSolve int(x^1/2)dx&1&61/25 using u-substitutionSolve int(x^1/2)dx&1&61/25 using integration by partsSolve int(x^1/2)dx&1&61/25 using trigonometric substitution

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1
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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

Time to solve it:

~ 0.02 s

Related topics:

Definite IntegralsIntegral CalculusCalculusIntegrals of Polynomial Functions

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