Solve ∫ (from pi / 4 to pi / 2) of cosx/cosx wrt x

Evaluate

\frac{\pi }{4}\approx 0.785398163

Solution Steps

\int _ { \pi / 4 } ^ { \pi / 2 } \frac { \cos x } { \cos x } d x

Divide \cos(x) by \cos(x) to get 1.

\int _{\frac{\pi }{4}}^{\frac{\pi }{2}}1\mathrm{d}x

Evaluate the indefinite integral first.

\int 1\mathrm{d}x

Find the integral of 1 using the table of common integrals rule \int a\mathrm{d}x=ax.

The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.

\frac{\pi }{2}-\frac{\pi }{4}

Simplify.

\frac{\pi }{4}

Quiz

Integration

5 problems similar to:

\int _ { \pi / 4 } ^ { \pi / 2 } \frac { \cos x } { \cos x } d x

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