Evaluate the following Integrals:
Given Definite Integral can be written as:
Let us assume 3+4sinx = y
Differentiating w.r.t x on both sides we get,
⇒ d(3+4sinx) = d(y)
⇒ 4cosxdx = dy
Lower limit for the Definite Integral:
⇒ x = 0 ⇒ y = 3+4sin(0)
⇒ y = 3 + 0
⇒ y = 3……(3)
Upper limit for the Definite Integral:
Substituting (2),(3),(4) in the eq(1) we get,
We know that:
We know that:
[here f’(x) is derivative of f(x))