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

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

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

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

t + C

Solution steps

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

Rewrite using trig identities

= \int 1 d t

Integral of a constant:

\int a d x = a x

= 1 \cdot t

Simplify

= t

Add a constant to the solution

= t + C

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\frac{d}{d x} (A x e^{\frac{x}{2}} + B)

\frac{d}{d x} (3 sin^{2} (x) cos (x))

\frac{d}{d x} (\frac{3 x - 2}{2 x + 1})

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