Solve the trigonometric integral $\int3\sec\left(x\right)\tan\left(x\right)dx$

Step-by-step Solution

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Final answer to the problem

$3\sec\left(x\right)+C_0$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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The integral of a function times a constant ($3$) is equal to the constant times the integral of the function

$3\int\sec\left(x\right)\tan\left(x\right)dx$

Learn how to solve trigonometric integrals problems step by step online.

$3\int\sec\left(x\right)\tan\left(x\right)dx$

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Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(3sec(x)tan(x))dx. The integral of a function times a constant (3) is equal to the constant times the integral of the function. Apply the formula: \int\sec\left(\theta \right)\tan\left(\theta \right)dx=\sec\left(\theta \right)+C. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final answer to the problem

$3\sec\left(x\right)+C_0$

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Function Plot

Plotting: $3\sec\left(x\right)+C_0$

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1
2
3
4
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
Dx
|◻|
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

How to improve your answer:

Main Topic: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.

Used Formulas

See formulas (2)

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