# Step-by-step Solution

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

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e
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ln
log
lim
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sin
cos
tan
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csc

asin
acos
atan
acot
asec
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Videos

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

## 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

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

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

### Main topic:

Integration by substitution

~ 0.89 seconds

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