∫ sin ⁡ 9 x d x \int_{ }^{ }\sin\ 9x\ dx ∫ sin 9 x d x

− 1 9 cos ⁡ 9 x + C -\frac{1}{9}\cos\ 9x\ +\ C − 9 1 cos 9 x + C

1 9 cos ⁡ 9 x + C \frac{1}{9}\cos\ 9x\ +\ C 9 1 cos 9 x + C

9 cos ⁡ 9 x + C 9\cos\ 9x\ +\ C 9 cos 9 x + C

− 9 cos ⁡ 9 x + C -9\cos\ 9x\ +\ C − 9 cos 9 x + C

∫ 7 cos ⁡ x d x = \int_{ }^{ }7\cos\ x\ dx\ =\ ∫ 7 cos x d x =

7 sin ⁡ x + C 7\ \sin\ x\ +\ C 7 sin x + C

− 7 sin ⁡ x + C -7\ \sin\ x\ +\ C − 7 sin x + C

1 7 sin ⁡ x + C \frac{1}{7}\ \sin\ x\ +\ C 7 1 sin x + C

sin ⁡ 7 x + C \ \sin7x\ +\ C sin 7 x + C

∫ 2 sin ⁡ 7 x d x = \int_{ }2\sin\ 7x\ dx\ = ∫ 2 sin 7 x d x =

− 2 7 cos ⁡ 7 x + C -\frac{2}{7}\cos\ 7x\ +\ C − 7 2 cos 7 x + C

7 cos ⁡ 7 x + C 7\cos\ 7x\ +\ C 7 cos 7 x + C

2 cos ⁡ 7 x + C 2\cos\ 7x\ +\ C 2 cos 7 x + C

2 7 cos ⁡ 7 x + C \frac{2}{7}\cos\ 7x\ +\ C 7 2 cos 7 x + C

∫ 2 cos ⁡ ( 6 + 3 x ) d x = \int_{ }^{ }2\cos\left(6+3x\right)\ dx\ = ∫ 2 cos ( 6 + 3 x ) d x =

2 3 sin ⁡ ( 6 + 3 x ) + C \frac{2}{3}\sin\ \left(6+3x\right)\ +\ C 3 2 sin ( 6 + 3 x ) + C

2 6 sin ⁡ ( 6 + 3 x ) + C \frac{2}{6}\sin\ \left(6+3x\right)\ +\ C 6 2 sin ( 6 + 3 x ) + C

1 6 sin ⁡ ( 6 + 3 x ) + C \frac{1}{6}\sin\ \left(6+3x\right)\ +\ C 6 1 sin ( 6 + 3 x ) + C

2 3 x sin ⁡ ( 6 + 3 x ) + C \frac{2}{3x}\sin\ \left(6+3x\right)\ +\ C 3 x 2 sin ( 6 + 3 x ) + C

Basic Integrations

Authored by Sin Woon Thoo

Mathematics

12th Grade

Used 3+ times

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What is an antiderivative?

The opposite of a derivative

The same as a derivative

A second derivative

It always represents velocity.

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