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Find the integral $\frac{8\int_{0}^{1}\sin\left(x\right)^2dx}{\sqrt{2}}$

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Solution

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Final Answer

$1.542487$
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Step-by-step Solution

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$\frac{8\int_{0}^{1}\sin\left(x\right)^2dx}{\sqrt{2}}$

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$\frac{8\int_{0}^{1}\sin\left(x\right)^2dx}{\sqrt{2}}$

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Learn how to solve integral calculus problems step by step online. Find the integral (int(sin(x)^2)dx&0&18)/(2^1/2). Simplifying. Take \frac{8}{\sqrt{2}} out of the fraction. Rewrite the trigonometric expression \sin\left(x\right)^2 inside the integral. Take the constant \frac{1}{2} out of the integral.

Final Answer

$1.542487$

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 (sinx^2)dx from 0 to 18/(2^0.5) using basic integralsSolve integral of (sinx^2)dx from 0 to 18/(2^0.5) using u-substitutionSolve integral of (sinx^2)dx from 0 to 18/(2^0.5) using integration by partsSolve integral of (sinx^2)dx from 0 to 18/(2^0.5) using tabular integrationSolve integral of (sinx^2)dx from 0 to 18/(2^0.5) using weierstrass substitution

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Plotting: $1.542487$

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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: 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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