3 years ago
Use the properties of integrals to evaluate integral 0 to 1 (4+3x^(2))dx
1 Answers
Best Answer
bkeyztournevada Staff answered 3 years ago
bkeyztournevada Staff answered 3 years ago
Step 1
Given: I=int_(0)^(1)(4+3x^(2))dx
for evaluating given integral, first we separate terms then integrate it
Step 2
so,
int_(0)^(1)(4+3x^(2))dx=4int_(0)^(1)dx+3int_(0)^(1)x^(2)dx (because int x^(n)dx=(x^(n+1))/(n+1)+c)
=4[x]_(0)^(1)+3[(x^(3))/(3)]_(0)^(1)
=4(1-0)+(1^(3)-0^(3))
=4(1)+1
=4+1
=5
hence, value of given integral is equal to 5.