Question

Integral of 3cosec^2 x - 5x + sinx

Answer 1

$\textbf{Hey there}$!!

$\textbf{Solution}$:

= $\int{\bold{( 3 cosec^{2}x - 5x + sinx)}}}$.dx


= 3 $\int{cosec^{2}}xdx)$ - 5 $\int{xdx}$ + $\int{sinxdx}$


= 3 (-cotx) - $\frac{5}{2}$$x^{2}$ + (-cosx) + c


= -3cotx - $\frac{5}{2}$ $x^{2}$ - cosx + c


#Be Brainly.


@karangrover@2.

Answer 2

$\bf \huge{ \underline{ \underline{ \blue{answer \: : - }}}}$

$\bf \huge \rightarrow \: \int \: (3 {cosec}^{2} x - 5x + sin \: x).dx \\ \\ \bf \huge \rightarrow \: 3 \int \: {cosec}^{2} xdx - 5 \int \: xdx \: + \int \: sin \: xdx \\ \\ \bf \huge \rightarrow \: 3( - cot \: x) - \frac{5}{2} {x}^{2} + ( - cos \: x)c \\ \\ \bf \huge \rightarrow \: - 3 \: cot \: x \: - \frac{5}{2} {x}^{2} - \: cos \: x \: + c$

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