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Step-by-step Solution

Trigonometric integral $\int_{0a}^{1b}\sin\left(x\right)^2dx$

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ln
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asin
acos
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sinh
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asinh
acosh
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Answer

$-\frac{1}{4}\sin\left(2b\right)+\frac{1}{2}b$

Step-by-step explanation

Problem to solve:

$\int_{0\cdota}^{1b}\sin\left(x\right)^2dx$
1

Any expression multiplied by $0$ is equal to $0$

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

Any expression multiplied by $1$ is equal to itself

$\int_{0}^{b}\sin\left(x\right)^2dx$

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Answer

$-\frac{1}{4}\sin\left(2b\right)+\frac{1}{2}b$
$\int_{0\cdota}^{1b}\sin\left(x\right)^2dx$

Main topic:

Integration by substitution

Used formulas:

5. See formulas

Time to solve it:

~ 0.89 seconds

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