What is the integral of sqrt(1+sin^2(x)) ?

The integral of sqrt(1+sin^2(x)) is \E(x\vert-1)+C

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integral of sqrt(1+sin^2(x))

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

E (x ∣ - 1) + C

Solution steps

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

Use the nonelementary integral:

\int 1 + c \cdot sin^{2} (x) d x = E (x ∣ - c)

= E (x ∣ - 1)

Add a constant to the solution

= E (x ∣ - 1) + C

x \to - 2 lim (x)

\frac{\partial}{\partial x} (e^{x \cdot z})

\int \frac{1}{2} e^{2 x + 1} d x

x x

\int \frac{16}{x ^{3} - 4 x ^{2}} d x

What is the integral of sqrt(1+sin^2(x)) ?
The integral of sqrt(1+sin^2(x)) is \E(x\vert-1)+C