What is area cos(x),sin(x),[0, pi/4 ] ?

The answer to area cos(x),sin(x),[0, pi/4 ] is sqrt(2)-1

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area cos(x),sin(x),[0, pi/4 ]

area

cos (x), sin (x), [0, \frac{π}{4}]

2 - 1

Decimal

0.41421 \dots

Solution steps

Apply the area formula:

\int_{0}^{\frac{π}{4}} ∣ cos (x) - sin (x) ∣ d x

Solve

\int_{0}^{\frac{π}{4}} ∣ cos (x) - sin (x) ∣ d x : 2 - 1

The area is:

= 2 - 1

\int \frac{7}{( x ^{2} + 1 ) ^{\frac{3}{2}}} d x

\int_{0}^{4} \frac{x}{x ^{2} - 9} d x

\int \frac{5 x + 4}{x - 1} d x

\frac{d ^{2}}{d x ^{2}} (5 e^{x} cos (x))

x \frac{d y}{d x} + x y = 1 - y, y (1) = 0

What is area cos(x),sin(x),[0, pi/4 ] ?
The answer to area cos(x),sin(x),[0, pi/4 ] is sqrt(2)-1