What is the integral from 0 to tan(θ) of cos(x) ?

The integral from 0 to tan(θ) of cos(x) is sin(tan(θ))

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integral from 0 to tan(θ) of cos(x)

\int_{0}^{t a n (θ)} cos (x) d x

sin (tan (θ))

Solution steps

\int_{0}^{t a n (θ)} cos (x) d x

Use the common integral:

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

= [sin (x)]_{0}^{t a n (θ)}

Compute the boundaries:

sin (tan (θ))

= sin (tan (θ))

\int_{4}^{5} e^{4 - x} d x

\int_{1}^{e^{5}} \frac{6 ln ( x )}{x} d x

\int_{x^{3}}^{x^{4}} (2 t - 6)^{6} d t

\int_{- 5}^{0} x d x

\int_{0}^{1} 3 t e^{t^{2} - 1} d t

What is the integral from 0 to tan(θ) of cos(x) ?
The integral from 0 to tan(θ) of cos(x) is sin(tan(θ))