Evaluate the indefinite integral. ∫sec2(x)dxx
Evaluate the indefinite integral.
Answer & Explanation
We have to evaluate the integral:
We will use substitution method since derivatives of one function is present in the integral.
differentiating with respect to x,
Substituting above values, we get
Since we know that
Where, C is an arbitrary constant.
Hence, value of given integral is .
This is the well-known tabular integral:
We substitute the already calculated integrals: