SolveMathAI

Integrate sec^2(x) dx

Worked through step by step. More integrals.

Answer
tan⁡(x)+C\boxed{\tan(x) + C}

Differentiating tan⁡(x)+C\tan(x) + C gives sec⁡2(x)\sec^2(x), which confirms the result is correct.

Problem: Evaluate the indefinite integral ∫sec⁡2(x) dx\int \sec^2(x) \, dx.

Steps

  1. Apply standard integration formulas
    ∫sec⁡2(x) dx=tan⁡(x)+C\int \sec^2(x) \, dx = \tan(x) + C

Generated by SolveMath AI and kept here so the next person asking gets it instantly. AI can make mistakes, so check anything that matters.

Solve your own

Same solver, same steps, no account.

Enter to solve · Shift+Enter for a new line

  • Free
  • No account
  • Every step shown
  • Arithmetic to calculus

More solved problems

Integrals solver →
Evaluate the integral of (2x + 1) dx from 0 to 3Integrate x * e^x dxIntegrate 2x(x^2 + 1)^4 dxIntegrate 1/(x^2 - 1) dx using partial fractionsIntegrate sin(x) dx from 0 to piIntegrate x^2 dx