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Popular >

integral of 42x

Solution

\int 42 x d x

Solution

21 x^{2} + C

Solution steps

\int 42 x d x

Take the constant out:

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

= 42 \cdot \int x d x

Apply the Power Rule

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

= 42 \cdot \frac{x ^{2}}{2}

Simplify

42 \cdot \frac{x ^{2}}{2} : 21 x^{2}

= 21 x^{2}

Add a constant to the solution

= 21 x^{2} + C

Popular Examples

integral of 1/(4\sqrt[4]{x^3)}

derivative of ((x^2+7/(x^2-7))^3)

\frac{d}{d x} ((\frac{x ^{2} + 7}{x ^{2} - 7})^{3})

implicit (dy)/(dx),x+y=5 implicit derivative

\frac{d y}{d x}, x + y = 5

(\partial)/(\partial x)(x/2)

\frac{\partial}{\partial x} (\frac{x}{2})

inverse oflaplace (s+1)/((s^2+1)^2)inverse laplace

\frac{s + 1}{( s ^{2} + 1 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of 42x ?
The integral of 42x is 21x^2+C