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Indefinite Integrals: Trigonometric Functions
Related Topics
Wize University Calculus 2 Textbook > Integration
Indefinite Integrals
4 Activities
Evaluate the following indefinite integral
∫
(
sec
2
x
)
(
cos
2
2
x
)
d
x
\displaystyle \int (\sec 2x)( \cos^2 2x)dx
∫
(
sec
2
x
)
(
cos
2
2
x
)
d
x
Don't forget
+
C
+C
+
C
!
I don't know
Check Submission
More Indefinite Integrals Questions:
Practice: Indefinite Integral
Find
f
(
x
)
f\left(x\right)
f
(
x
)
, given that
f
′
(
x
)
=
x
2
−
2
+
sin
x
f'\left(x\right)=x^2-2+\sin x
f
′
(
x
)
=
x
2
−
2
+
sin
x
and
f
(
0
)
=
3
f\left(0\right)=3
f
(
0
)
=
3
.
Practice: Indefinite Integral
Practice: Indefinite Integral
Find
f
(
x
)
f\left(x\right)
f
(
x
)
, given that
f
′
(
x
)
=
x
2
−
2
+
sin
x
f'\left(x\right)=x^2-2+\sin x
f
′
(
x
)
=
x
2
−
2
+
sin
x
and
f
(
0
)
=
3
f\left(0\right)=3
f
(
0
)
=
3
.
Practice: Indefinite Integral
Practice: Indefinite Integral
Find
f
(
x
)
f\left(x\right)
f
(
x
)
, given that
f
′
(
x
)
=
x
2
−
2
+
sin
x
f'\left(x\right)=x^2-2+\sin x
f
′
(
x
)
=
x
2
−
2
+
sin
x
and
f
(
0
)
=
3
f\left(0\right)=3
f
(
0
)
=
3
.
Antiderivatives and Indefinite Integrals
Find the most general antiderivative of
f
(
x
)
=
e
2
f\left(x\right)=e^2
f
(
x
)
=
e
2
Indefinite Integrals with Exponential
Compute the following integral:
∫
3
−
x
d
x
\displaystyle \int 3^{-x}\,\text{d}x
∫
3
−
x
d
x
.
Use upper case
C
C
C
to denote any constants.
Antiderivatives: Indefinite integrals
Evaluate the integral
∫
1
+
1
x
+
2
x
2
+
3
x
3
d
x
\displaystyle\int_{ }^{ }1+\frac{1}{x}+\frac{2}{x^2}+\frac{3}{x^3}dx
∫
1
+
x
1
+
x
2
2
+
x
3
3
d
x
.
Indefinite Integrals
Evaluate the following indefinite integral
∫
x
4
−
3
x
x
d
x
\displaystyle \int \frac{x^4-3x}{x}dx
∫
x
x
4
−
3
x
d
x
Antiderivatives: Indefinite integrals
Evaluate the indefinite integral
∫
x
2
3
−
x
5
+
1
x
3
4
d
x
\displaystyle \int \sqrt[3]{x^2}-\sqrt[5]{x}+\frac{1}{\sqrt[4]{x^3}}dx
∫
3
x
2
−
5
x
+
4
x
3
1
d
x
.