Evaluate
x\tan(ϕ)+С
\nexists n_{1}\in \mathrm{Z}\text{ : }ϕ=\pi n_{1}+\frac{\pi }{2}
Differentiate w.r.t. x
\tan(ϕ)
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\frac{\sin(ϕ)}{\cos(ϕ)}x
Find the integral of \frac{\sin(ϕ)}{\cos(ϕ)} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{\sin(ϕ)x}{\cos(ϕ)}
Simplify.
\begin{matrix}\frac{\sin(ϕ)x}{\cos(ϕ)}+С_{3},&\end{matrix}
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}