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Popular >

integral of ix

Solution

\int i x d x

Solution

\frac{i x ^{2}}{2} + C

Solution steps

\int i x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= i \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= i \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{i x ^{2}}{2}

Add a constant to the solution

= \frac{i x ^{2}}{2} + C

Popular Examples

integral of 8x^{1/3}-8x^{-1/3}

\int 8 x^{\frac{1}{3}} - 8 x^{- \frac{1}{3}} d x

integral of 3e^x+4sec^2(x)

\int 3 e^{x} + 4 sec^{2} (x) d x

integral of 1/((x-1)(x^2+4))

\int \frac{1}{( x - 1 ) ( x ^{2} + 4 )} d x

integral of 5e^{3x+1}

\int 5 e^{3 x + 1} d x

integral of 4e^x+6

\int 4 e^{x} + 6 d x

Frequently Asked Questions (FAQ)

What is the integral of ix ?
The integral of ix is (ix^2)/2+C