What is the integral of (1+sin^2(x))^{1/2} ?

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

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integral of (1+sin^2(x))^{1/2}

integral

(1 + sin^{2} (x))^{\frac{1}{2}}

E (x ∣ - 1) + C

Solution steps

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

(4 + 16 e^{8} x)^{\frac{1}{2}}

x^{3} (1 + x^{4})^{3}

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

\frac{x}{( 2 - x )}

\frac{e ^{- 1}}{x}

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