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

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

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

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

\frac{x ^{2}}{2} + C

Solution steps

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

Rewrite using trig identities

= \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{2}}{2} + C

\int \frac{( 3 x ^{2} + 5 x )}{( x - 1 ) ( x + 1 ) ^{2}} d x

\int tan^{3} (3 x) sec^{4} (3 x) d x

y^{^{'}} = - 0.02 y - 4

\int - cos (\frac{n x π}{2}) d x

(4 - t) (2 + t^{2})^{- 1}

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