Solve the integral: int(x^3+4x^2+sinx)dx.

First, since there are terms with different factors of x summing together, we can separate these into three individual integrals as follows:int(x3 dx) + 4int(x2dx) + int(sinx dx)Then using the rules of integration given in the integral tables we solve for every term as:1/3 x2 + 4/2 x - cos x + constant

Answered by Maths tutor

3221 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

differentiate with respect to x: (x^3)(e^x)


Use Simpson's rule with 5 ordinates (4 strips) to find an approximation to "integral between 1 and 3 of" 1/sqrt(1+x^3) dx giving your answer to three significant figures.


Simplify (3x^2 - 6x)/ (6x^3 - 19x^2 + 9x +10)


Differentiate y= exp(cos^2(x)+sin^2(x)) by using the chain rule.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences