Question
Evaluate the integral
−33x−2x2+C,C∈R
Evaluate
∫(−33−x)dx
Rewrite the expression
∫−(33+x)dx
Use the property of integral ∫kf(x)dx=k∫f(x)dx
−∫(33+x)dx
Use the property of integral ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx
−(∫33dx+∫xdx)
Calculate
−∫33dx−∫xdx
Use the property of integral ∫kdx=kx
−33x−∫xdx
Evaluate the integral
More Steps

Evaluate
−∫xdx
Use the property of integral ∫xndx=n+1xn+1
−1+1x1+1
Simplify
More Steps

Evaluate
1+1x1+1
Add the numbers
1+1x2
Add the numbers
2x2
−2x2
−33x−2x2
Solution
−33x−2x2+C,C∈R
Show Solution
