Evaluate
100\sin(y)
Differentiate w.r.t. y
100\cos(y)
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\int \sin(y)\mathrm{d}x
Evaluate the indefinite integral first.
\sin(y)x
Find the integral of \sin(y) using the table of common integrals rule \int a\mathrm{d}x=ax.
100\sin(y)+0\sin(y)
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
100\sin(y)
Simplify.
Examples
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y = 3x + 4
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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