Question

integral of sin2x(secx)dx​

Answer 1

Answer:

Answer:

∫

sin

(

2

x

)

d

x

=

−

1

2

cos

(

2

x

)

+

C

Explanation:

Using integration by substitution together with the known integral

∫

sin

(

x

)

d

x

=

−

cos

(

x

)

+

C

, we first let

u

=

2

x

⇒

d

u

=

2

d

x

. Then

∫

sin

(

2

x

)

d

x

=

1

2

∫

sin

(

2

x

)

2

d

x

=

1

2

∫

sin

(

u

)

d

u

=

1

2

(

−

cos

(

u

)

)

+

C

=

−

1

2

cos

(

2

x

)

+

C