Use U-Substitution to evaluate the following integral
∫4x(x2+5)50 dx
Evaluate the following integral
∫cos4(x)sin(x) dx
Evaluate the following integral
∫(x+1)2x+x2 dx
Evaluate the following integral
∫xsin(ln(x)) dx
Evaluate the following integral
∫x3sin(x4+2) dx
Find ∫sin(x)sin(cosx) dx
Evaluate ∫x51+x2 dx
Evaluate the indefinite integral
∫(x4+2)44x3 dx
Find ∫1+2x22x dx
Evaluate ∫(lnx)4x2 dx
Evaluate ∫1+x2e p tan−1(x) dx
Evaluate the definite integral below
∫−22 x2cos(8x3) dx
Evaluate the following definite integral
∫04 xx2+9 dx
Find the area under the curve over the interval [0,4]
f(x)=x2+1
Find the area under the curve over the interval [1,4]
f(x)=x2
Evaluate the integral
∫02(2x−2x2) dx
Prove the fundamental theorem of calculus
Evaluate the integral ∫4π2π(2−csc2x) dx
Find the area the region bounded by:
y=1+3x
x=0
x=8
y=0
Compute the definite integrals
∫6π3πtan(x) dx and ∫3−π3πtan(x) dx