What is the integral of sqrt(1+3sin^2(x)) ?

The integral of sqrt(1+3sin^2(x)) is \E(x\vert-3)+C

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integral of sqrt(1+3sin^2(x))

\int 1 + 3 sin^{2} (x) d x

E (x ∣ - 3) + C

Solution steps

\int 1 + 3 sin^{2} (x) d x

Use the nonelementary integral:

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

= E (x ∣ - 3)

Add a constant to the solution

= E (x ∣ - 3) + C

\int \frac{e x}{x} d x

\int (sec (x))^{6} d x

x \to 0 + lim (\frac{- 5 + x}{4 + x})

\int_{0}^{2} (4 t i - t^{3} j + 4 t^{7} k) d t

y = x^{4} + 2 x^{2} - x

What is the integral of sqrt(1+3sin^2(x)) ?
The integral of sqrt(1+3sin^2(x)) is \E(x\vert-3)+C