What is the integral of 7cos(x)tan(x) ?

The integral of 7cos(x)tan(x) is -7cos(x)+C

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integral of 7cos(x)tan(x)

\int 7 cos (x) tan (x) d x

- 7 cos (x) + C

Solution steps

\int 7 cos (x) tan (x) d x

Take the constant out:

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

= 7 \cdot \int cos (x) tan (x) d x

Express with sin, cos

= 7 \cdot \int sin (x) d x

Use the common integral:

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

= 7 (- cos (x))

Simplify

= - 7 cos (x)

Add a constant to the solution

= - 7 cos (x) + C

\int 7 x e^{- 4 x} d x

\int 5 e^{z} d z

\int \frac{5}{e ^{x}} d x

\int sin (2 x) cos (\frac{x}{3}) d x

\int (x^{\frac{4}{3}} - 4 x^{\frac{1}{3}}) d x

What is the integral of 7cos(x)tan(x) ?
The integral of 7cos(x)tan(x) is -7cos(x)+C