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Popular >

integral of 4θ

Solution

\int 4 θ d θ

Solution

2 θ^{2} + C

Solution steps

\int 4 θ d θ

Take the constant out:

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

= 4 \cdot \int θ d θ

Apply the Power Rule

: \frac{θ ^{2}}{2}

= 4 \cdot \frac{θ ^{2}}{2}

Simplify

4 \cdot \frac{θ ^{2}}{2} : 2 θ^{2}

= 2 θ^{2}

Add a constant to the solution

= 2 θ^{2} + C

Popular Examples

integral of (a^x)

\int (a^{x}) d x

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\int \frac{1}{x 4 - 9 ( ln ( x ) ) ^{2}} d x

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\int e^{2 x} e^{2 x} + 1 d x

integral of x^{13}ln(8x^7)

\int x^{13} ln (8 x^{7}) d x

integral of 1/(3xsqrt(4x^2-1))

\int \frac{1}{3 x 4 x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 4θ ?
The integral of 4θ is 2θ^2+C