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

x \to + 0 lim (x^{2} tan (x))

x^{2} \frac{d ^{2} y}{d x ^{2}} + x \cdot \frac{d y}{d x} - y = 1

\int y^{2} (9 - y^{3})^{\frac{2}{3}} d y

\int 12 (2 x + 7) (x + 1)^{2} d x

f (x) = 2 e^{2 x}

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