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Popular >

integral of sin(0.01x)

Solution

\int sin (0.01 x) d x

Solution

- 100 cos (0.01 x) + C

Solution steps

\int sin (0.01 x) d x

Apply u-substitution

: \int sin (u) \frac{1}{0.01} d u

= \int sin (u) \frac{1}{0.01} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{0.01} \cdot \int sin (u) d u

Simplify

= 100 \cdot \int sin (u) d u

Use the common integral:

\int sin (u) d u = - cos (u)

= 100 (- cos (u))

Substitute back

u = 0.01 x

= 100 (- cos (0.01 x))

Simplify

= - 100 cos (0.01 x)

Add a constant to the solution

= - 100 cos (0.01 x) + C

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\int \frac{csc ^{6} ( 2 x )}{cot ( 2 x )} d x

Frequently Asked Questions (FAQ)

What is the integral of sin(0.01x) ?
The integral of sin(0.01x) is -100cos(0.01x)+C