Algebra
Calculus
Trigonometry
Matrix
Question
Evaluate the integral
−36x2+C,C∈R
Evaluate
∫(9x1−81x)dx
Simplify the root
∫(9x×1−81x)dx
Multiply the terms
∫(9x−81x)dx
Subtract the terms
More Steps
Evaluate
9x−81x
Collect like terms by calculating the sum or difference of their coefficients
(9−81)x
Subtract the numbers
−72x
∫−72xdx
Use the property of integral ∫kf(x)dx=k∫f(x)dx
−72×∫xdx
Use the property of integral ∫xndx=n+1xn+1
−72×1+1x1+1
Simplify
More Steps
Evaluate
1+1x1+1
Add the numbers
1+1x2
Add the numbers
2x2
−72×2x2
Cancel out the common factor 2
−36x2
Solution
−36x2+C,C∈R
Show Solution
