COLLEGE CALCULUS. HELP!
posted by LILY .
Evaluate the definite integral
∫(0,2) (x1)^25 dx..
thats how i got stuck
u=x1, then du=dx
=∫(0,2) u^25du
=(1/26)u^26. i don't know what to do with integral (2,0)..

just keep working away. You have the correct answer
1/26 (x1)^26 [0,2]
= 1/26 [(1)^26  (1)^26]
= 1/26 [1  1]
= 0 
you have to break up your integral into two parts, since there is an xintercept in your domain from 0 to 2, namely x = 1
think of it as finding the area from x=0 to x=1 plus the area from x=1 to x=2
we get ∫(x1)^25 dx from 0 to 1
= (1/26)(x1)^26  from 0 to 1
= 0  (1/26)(1)^26 = 1/26
and
∫(x1)^25 dx from 1 to 2
= (1/26)(x1)^26  from 1 to 2
= (1/26)(1)^26  (1/26)(0) = 1/26
so the total integral is 2/26 or 1/13
Respond to this Question
Similar Questions

Calculus
Evaluate the triple integral ∫∫∫_E (x)dV where E is the solid bounded by the paraboloid x=10y^2+10z^2 and x=10 
Calculus
Evaluate the triple integral ∫∫∫_E (x+y)dV where E is bounded by the parabolic cylinder y=5x^2 and the planes z=9x, y=20x and z=0. 
Calculus
Evaluate the triple integral ∫∫∫_E (xy)dV where E is the solid tetrahedon with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4) 
Calculus
Evaluate the triple integral ∫∫∫_E (z)dV where E is the solid bounded by the cylinder y^2+z^2=1225 and the planes x=0, y=7x and z=0 in the first octant. 
Calculus
Evaluate the following definite integral: integral at a = 1, b=2 4dx/(9x^2+30x+25) Would I have to separate them in 3 terms as: 4 ∫1/9x^2 + ∫1/30x + ∫1/25 resulting in: 4/(3x^3)+ (15x^2)+ C? 
Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)=? 
Calculus
20) Evaluate the definite integral. On the integral from e to e^3 ∫dx/xl(nx)^(1/2) 
Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx) 
Calculus III
Use symmetry to evaluate the double integral ∫∫R(10+x^2⋅y^5) dA, R=[0, 6]×[−4, 4]. (Give your answer as an exact number.) ∫∫R(10+x^2⋅y^5) dA= 
calculus
a) Let f(z) = z^2 and γ(t) = 1 + it^3, t ∈ [0,1]. i) Write out the contour integral ∫γ f(z)dz as an integral with respect to t. You do not need to evaluate this integral. ii) Evaluate the integral ∫0,1+i …