Find the integral of (3x^2+4x^5-7)dx
First of all note the dx means that we are integrating with respect to x.
So lets integrate each term seperately..
3x^2 ---> (raise the power by one then divide by the new power, so 3) ---> x^3
4x^5 ---> (raise the power by one and then divide by the new power, so 6) ---> 4/6 x^6 --->(simplify fraction) 2/3 x^6
-7 ---> (raise the power by one from x^0 to x^1 then divide by the new power, so 1) ---> -7x
when integrating without boundaries we must add a constant ---> +C
putting it all together we get= x^3+ 2/3 x^6 -7x +C
AJ
Related Maths A Level answers
All answers ▸The line PQ is the diameter of a circle, where points P and Q have the coordinates (4,7) and (-8,3) respectively. Find the equation of the circle.
Find the exact value of sin(75°). Give your answer in its simplest form.
Differentiate the function: y = sin(x^2)*ln(5x)
Why does exp(x+y) NOT equal exp(x)+exp(y)? [A-level Maths and Further Maths common mistake]