Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x3 + (2x)-1 + e2x )dx

=int(5x3)dx + int((2x)-1)dx + int(e2x )dx

int(5x3)dx = (5/4)x4+ c               where c is the constant of integration

int(2x-1)dx = (1/2)ln(2x) + d       where d is another constant of integration

int(e2x)dx = (1/2)e2x + f              where f is another constant of integration

Let C = c+d+f

int((5x3) + (2x-1) + (e2x))dx = (5/4)x4 + (1/2)ln(2x) + (1/2)e2x + C

DL

Related Maths A Level answers

All answers ▸

if f is defined on with f(x)=x^2-2x-24(x)^0.5 for x>=0 a) find 1st derivative of f, b) find second derivative of f, c) Verify that function f has a stationary point when x = 4 (c) Determine the type stationary point.


The quadratic equation x^2 + 4kx+2(k+1) = 0 has equal roots, find the possible values of k.


Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)


Integrate sin^4(x)