Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

\int3x\sqrt{x+6}dx

Integrate x(x+6)^0.5*3

Answer

$\int\sec\left(\theta\right)^2\sqrt{6+6\left(\sec\left(\theta\right)^2-1\right)}\tan\left(\theta\right)\left(\sec\left(\theta\right)^2-1\right)d\theta$

Step-by-step explanation

Problem

$\int3x\sqrt{x+6}dx$
1

Take the constant out of the integral

$3\int\sqrt{6+x}xdx$

Unlock this step-by-step solution!

Answer

$\int\sec\left(\theta\right)^2\sqrt{6+6\left(\sec\left(\theta\right)^2-1\right)}\tan\left(\theta\right)\left(\sec\left(\theta\right)^2-1\right)d\theta$

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!

$\int3x\sqrt{x+6}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

5. See formulas

Time to solve it:

0.69 seconds