Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Trigonometric integral $\int41x\sec\left(x\right)^2dx$

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
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

Answer

$4\left(x\tan\left(x\right)+\ln\left(\cos\left(x\right)\right)\right)+C_0$

Step-by-step explanation

Problem to solve:

$\int4x\:\sec^2x\:dx$
1

Multiply $4$ times $1$

$\int4x\sec\left(x\right)^2dx$
2

Take the constant out of the integral

$4\int x\sec\left(x\right)^2dx$

Unlock this step-by-step solution!

Answer

$4\left(x\tan\left(x\right)+\ln\left(\cos\left(x\right)\right)\right)+C_0$
$\int4x\:\sec^2x\:dx$

Main topic:

Integration by parts

Used formulas:

4. See formulas

Time to solve it:

~ 0.65 seconds

Struggling with math?

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