What is the integral of sin^2(x)+cos^2(x) ?

The integral of sin^2(x)+cos^2(x) is x+C

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integral of sin^2(x)+cos^2(x)

integral

sin^{2} (x) + cos^{2} (x)

x + C

Solution steps

\int sin^{2} (x) + cos^{2} (x) d x

Rewrite using trig identities

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

in t e g r a l \frac{ln ( x )}{( x + 1 ) ^{2}}

in t e g r a l \frac{sin ^{2} ( x )}{2}

in t e g r a l \frac{1}{( e ^{x} + e ^{- x} )}

in t e g r a l \frac{x}{( x + 2 )}

in t e g r a l (e^{- t})^{2}

What is the integral of sin^2(x)+cos^2(x) ?
The integral of sin^2(x)+cos^2(x) is x+C