The calculator will find the integral/antiderivative of
2x, with steps shown.
Related calculator:
Definite and Improper Integral Calculator
Solution
Apply the constant multiple rule ∫cf(x)dx=c∫f(x)dx with c=21 and f(x)=x:
∫2xdx=(2∫xdx)
Apply the power rule ∫xndx=n+1xn+1 (n=−1) with n=21:
2∫xdx=2∫x21dx=221+1x21+1=2(32x23)
Therefore,
∫2xdx=3x23
Add the constant of integration:
∫2xdx=3x23+C
Answer
∫2xdx=3x23+CA