Answer to Question #46048 in Integral Calculus for prromise ayansola

Question

Integrate with respect to x :
∫10x^2dx
a. 4 1/3
b. 1
c. 2
d. 12

Answer 1

You missed limits of integration, because statement concerns indefinite integral, answers concern the definite integral.
Calculation of indefinite integral ∫10x²dx=10∫x²dx=10x³/3+C, where C is an arbitrary real constant. If you integrate x² from 1 to 0, then answer is (0³/3-1³/3)=-1/3. If you integrate x² from 0 to 1, then answer is (1³/3-0³/3)=1/3.