Solve int 0 ^ pi x dx a ^ 2 * cos^2 x + b ^ 2 * sin^2

Evaluate

\int 0^{π} \times x d x \times a^{2} cos^{2} (x) + b^{2} sin^{2} (x)

Calculate

\int 0 \times x d x \times a^{2} cos^{2} (x) + b^{2} sin^{2} (x)

Any expression multiplied by 0 equals 0

\int 0 d x \times a^{2} cos^{2} (x) + b^{2} sin^{2} (x)

Use the property of integral \int k d x = k x

0 \times a^{2} cos^{2} (x) + b^{2} sin^{2} (x)

Any expression multiplied by 0 equals 0

0 + b^{2} sin^{2} (x)

Multiply the terms

0 + (b sin (x))^{2}

Removing 0 doesn't change the value,so remove it from the expression

(b sin (x))^{2}

Rewrite the expression

sin^{2} (x) \times b^{2}

Solution

sin^{2} (x) \times b^{2} + C, C \in R

Evaluate the integral