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Popular >

integral of 7x+8y^2

Solution

\int 7 x + 8 y^{2} d x

Solution

\frac{7 x ^{2}}{2} + 8 y^{2} x + C

Solution steps

\int 7 x + 8 y^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 7 x d x + \int 8 y^{2} d x

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 8 y^{2} d x = 8 y^{2} x

= \frac{7 x ^{2}}{2} + 8 y^{2} x

Add a constant to the solution

= \frac{7 x ^{2}}{2} + 8 y^{2} x + C

Popular Examples

integral of 1/((x-5)^2(x+3))

\int \frac{1}{( x - 5 ) ^{2} ( x + 3 )} d x

x(dy)/(dx)+y=4x+1

x \frac{d y}{d x} + y = 4 x + 1

tangent of f(x)= 3/x ,\at x=3 tangent of

f (x) = \frac{3}{x}, at x = 3

derivative of (3x-3/(2sqrt(x)))

\frac{d}{d x} (\frac{3 x - 3}{2 x})

(dy)/(dx)= 3/(1+x)

\frac{d y}{d x} = \frac{3}{1 + x}

Frequently Asked Questions (FAQ)

What is the integral of 7x+8y^2 ?
The integral of 7x+8y^2 is (7x^2)/2+8y^2x+C