Trig Integral Calculator
Integrate A f(kx + b) for common trigonometric forms
Integrate Reset
Basic Trig Integral Formulas
∫sin u du=-cos u, ∫cos u du=sin u, ∫sec^2 u du=tan u, ∫csc^2 u du=-cot u
For a linear inner angle u = kx + b, multiply the antiderivative by 1/k.
⚠ This tool covers basic trig antiderivatives, not products, powers, or integration by parts cases.
How Trig Integration Works Recognize the trig form, integrate with respect to u, then divide by the inner coefficient k.
Recognize Form
Match the integrand to a known trig integral.
Divide by k
Because du = k dx, the integral has a 1/k factor.
Add C
Indefinite integrals include a constant of integration.
Example: ∫6 sin(3x) dx = 6(-cos(3x))/3 + C = -2 cos(3x) + C.
Applications Calculus Area Under Curves Oscillation Physics
Frequently Asked Questions What is the integral of sin x?▼
The integral of sin x is -cos x + C.
What is the integral of cos x?▼
The integral of cos x is sin x + C.
How does a linear inner angle affect the integral?▼
For f(kx+b), divide by k after integrating because du = k dx.
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