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

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

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

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

x + C

Solution steps

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

\int \frac{( 1 + tan ( x ) )}{sin ( 2 x )} d x

\int \frac{( x - 1 ) ^{2}}{2 x - x ^{2}} d x

\int \frac{14 x + 9}{( 2 x + 1 ) ^{2}} d x

\int 12 x e^{x} d x

\int \frac{x ^{2} + 19 x + 10}{2 x ^{4} + 5 x ^{3}} d x

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