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Answer the questions that follow for the function K=7 ^2 x- x+ 32-5x^4+2x^4
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Answer the questions that follow for the function
K
=
7
sec
2
x
−
tan
x
+
3
2
−
5
x
4
+
2
x
4
.
K=7\sec^2 x-\tan x+\frac32-5x^4+2x^4.
K
=
7
sec
2
x
−
tan
x
+
2
3
−
5
x
4
+
2
x
4
.
(a) Simplify
K
K
K
completely by collecting like terms. (b) Obtain
∫
K
d
x
\displaystyle\int K\,dx
∫
K
d
x
. (c) Show by differentiation of your result in part (b) that the integrand is recovered.
Related theory
Polynomials
Antiderivatives
Standard algebraic integrals
Integrals of standard functions
Integrals
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