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Find the integral $\int y\mathrm{arcsec}\left(y\right)dy$

Used Formulas

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Solution

Formulas

Videos

Basic Integrals

· Power Rule of Integration
$\int xdx=\frac{1}{2}x^2+C$

Integration Techniques

· Integration by Parts
$\int udv=uv - \int vdu$

Trigonometric Integrals

$\int\sec\left(\theta \right)^2dx=\tan\left(\theta \right)+C$

Function Plot

Plotting: $\frac{1}{2}y^2\mathrm{arcsec}\left(y\right)-\frac{1}{2}\sqrt{y^2-1}+C_0$

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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

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Find the integral

$\int\left(x^3+2\right)^23x^2dx$

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.

Used Formulas

See formulas (3)

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